From ec494626bd7193be6a2871aa1e83cd94ae4a232a Mon Sep 17 00:00:00 2001 From: =?UTF-8?q?=D0=A0=D0=B0=D0=BD=D0=B8=D1=8F=20=D0=A8=D0=B0=D0=B1=D0=B0?= =?UTF-8?q?=D0=BD=D0=BE=D0=B2=D0=B0?= Date: Wed, 11 Feb 2026 22:31:03 +0300 Subject: [PATCH] otchet --- ТЕМА1/Perem | 351 +++++++++++++++++++++ ТЕМА1/Prog1.m | 9 + ТЕМА1/figure1.PNG | Bin 0 -> 2025 bytes ТЕМА1/figure11.1.PNG | Bin 0 -> 13860 bytes ТЕМА1/figure11.2.PNG | Bin 0 -> 40627 bytes ТЕМА1/figure11.3.PNG | Bin 0 -> 17363 bytes ТЕМА1/figure11.PNG | Bin 0 -> 22904 bytes ТЕМА1/figure12.PNG | Bin 0 -> 8602 bytes ТЕМА1/figure13.PNG | Bin 0 -> 52323 bytes ТЕМА1/figure3.PNG | Bin 0 -> 61477 bytes ТЕМА1/figure4.PNG | Bin 0 -> 25467 bytes ТЕМА1/report.md | 651 +++++++++++++++++++++++++++++++++++++++ 12 files changed, 1011 insertions(+) create mode 100644 ТЕМА1/Perem create mode 100644 ТЕМА1/Prog1.m create mode 100644 ТЕМА1/figure1.PNG create mode 100644 ТЕМА1/figure11.1.PNG create mode 100644 ТЕМА1/figure11.2.PNG create mode 100644 ТЕМА1/figure11.3.PNG create mode 100644 ТЕМА1/figure11.PNG create mode 100644 ТЕМА1/figure12.PNG create mode 100644 ТЕМА1/figure13.PNG create mode 100644 ТЕМА1/figure3.PNG create mode 100644 ТЕМА1/figure4.PNG create mode 100644 ТЕМА1/report.md diff --git a/ТЕМА1/Perem b/ТЕМА1/Perem new file mode 100644 index 0000000..f86b14d --- /dev/null +++ b/ТЕМА1/Perem @@ -0,0 +1,351 @@ +# Created by Octave 8.3.0, Wed Feb 11 10:45:28 2026 GMT +# name: A +# type: matrix +# rows: 4 +# columns: 6 + -0.49961216799536634 0.73574332058745695 -1.4083538751250311 -0.14566206211667387 0.017863211775500584 0.80796356634075106 + 0.065261175045992326 -0.93387431302891188 -1.4183857700013964 1.5389152284998671 -0.074219376625527092 0.58380926566438962 + 0.606362954282331 0.93324459076542632 0.53857160267056992 1.0963840687506055 0.15846728604624788 -0.54797357396866242 + 1.1126937083502504 0.25416779924328053 0.59198742296398099 0.753771967611094 0.37990610214780912 -2.1629012180637903 + + +# name: B +# type: matrix +# rows: 4 +# columns: 7 + 0.57698638787272005 0.18970642911370528 0.30264542865574517 0.48736324631540151 0.43280092078882426 0.023380488578641501 0.12197145436865042 + 0.56038722785344175 0.13132972371804807 0.96064402796334503 0.73281787741616489 0.082143119004015941 0.29696780946196544 0.01435486322402646 + 0.807299128592188 0.50415868612371417 0.39457565823282115 0.20740929439424316 0.93227336820470807 0.39751988122280979 0.49228114398292655 + 0.58944460252786224 0.4977524141264652 0.74236943137694733 0.32142383705747368 0.6317766560577921 0.46773071857187465 0.78769865360535729 + + +# name: B1 +# type: matrix +# rows: 4 +# columns: 7 + 0.75959620053862831 0.43555301527334794 0.55013219198274987 0.69811406397192821 0.65787606795567832 0.15290679703218396 0.34924411858848881 + 0.74859016013666768 0.3623944311355351 0.98012449615512875 0.85604782425759651 0.28660620894184402 0.54494752909061384 0.11981178249248468 + 0.8984982629878524 0.71004132705337242 0.62815257559992632 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-0.23863968154770085 + + +# name: B3 +# type: matrix +# rows: 4 +# columns: 7 + 0.54550067808570402 0.18857059898869827 0.29804644416992448 0.46829776044575339 0.41941510495748785 0.02337835849024672 0.1216692503048462 + 0.53151423886617388 0.13095253099185403 0.81956076129516875 0.66896679472914999 0.082050773491500861 0.29262209030539771 0.014354370230233348 + 0.72242228830141819 0.4830709727596843 0.38441648818135477 0.20592541294153055 0.80297696501372484 0.38713280633092645 0.47263739023882712 + 0.55589943477451609 0.47745188715327036 0.67603576777043162 0.31591779786175661 0.59057941433507777 0.45086190165747797 0.70873160088385834 + + +# name: BS1 +# type: matrix +# rows: 4 +# columns: 7 + 0.56038722785344175 0.13132972371804807 0.30264542865574517 0.20740929439424316 0.082143119004015941 0.023380488578641501 0.01435486322402646 + 0.57698638787272005 0.18970642911370528 0.39457565823282115 0.32142383705747368 0.43280092078882426 0.29696780946196544 0.12197145436865042 + 0.58944460252786224 0.4977524141264652 0.74236943137694733 0.48736324631540151 0.6317766560577921 0.39751988122280979 0.49228114398292655 + 0.807299128592188 0.50415868612371417 0.96064402796334503 0.73281787741616489 0.93227336820470807 0.46773071857187465 0.78769865360535729 + + +# name: BS2 +# type: matrix +# rows: 4 +# columns: 7 + 0.56038722785344175 0.13132972371804807 0.96064402796334503 0.73281787741616489 0.082143119004015941 0.29696780946196544 0.01435486322402646 + 0.57698638787272005 0.18970642911370528 0.30264542865574517 0.48736324631540151 0.43280092078882426 0.023380488578641501 0.12197145436865042 + 0.58944460252786224 0.4977524141264652 0.74236943137694733 0.32142383705747368 0.6317766560577921 0.46773071857187465 0.78769865360535729 + 0.807299128592188 0.50415868612371417 0.39457565823282115 0.20740929439424316 0.93227336820470807 0.39751988122280979 0.49228114398292655 + + +# name: C +# type: double_range +# base, limit, increment +4 27 1 + + +# name: D +# type: matrix +# rows: 4 +# columns: 6 + 4 8 12 16 20 24 + 5 9 13 17 21 25 + 6 10 14 18 22 26 + 7 11 15 19 23 27 + + +# name: D1 +# type: scalar +22 + + +# name: D2 +# type: matrix +# rows: 1 +# columns: 3 + 18 22 26 + + +# name: D3 +# type: matrix +# rows: 2 +# columns: 3 + 13 17 21 + 14 18 22 + + +# name: D4 +# type: matrix +# rows: 1 +# columns: 5 + 19 20 21 22 23 + + +# name: D5 +# type: matrix +# rows: 2 +# columns: 3 + 6 14 26 + 7 15 27 + + +# name: DB +# type: diagonal matrix +# rows: 4 +# columns: 4 +0.75959620053862831 +0.3623944311355351 +0.62815257559992632 +0.56694253417561968 + + +# name: DDD +# type: matrix +# rows: 4 +# columns: 6 + 64 512 1728 4096 8000 13824 + 125 729 2197 4913 9261 15625 + 216 1000 2744 5832 10648 17576 + 343 1331 3375 6859 12167 19683 + + +# name: DL +# type: bool matrix +# rows: 4 +# columns: 6 + 0 0 0 0 1 1 + 0 0 0 0 1 1 + 0 0 0 0 1 1 + 0 0 0 0 1 1 + + +# name: DP1 +# type: matrix +# rows: 1 +# columns: 6 + 840 7920 32760 93024 212520 421200 + + +# name: DS1 +# type: matrix +# rows: 1 +# columns: 6 + 22 38 54 70 86 102 + + +# name: DS2 +# type: matrix +# rows: 4 +# columns: 1 + 84 + 90 + 96 + 102 + + +# name: Dstolb +# type: matrix +# rows: 24 +# columns: 1 + 4 + 5 + 6 + 7 + 8 + 9 + 10 + 11 + 12 + 13 + 14 + 15 + 16 + 17 + 18 + 19 + 20 + 21 + 22 + 23 + 24 + 25 + 26 + 27 + + +# name: Dsum +# type: scalar +22.547300573537278 + + +# name: Dsum2 +# type: scalar +-0.057010896737607175 + + +# name: E +# type: matrix +# rows: 7 +# columns: 6 + 0.89368969407805388 0.80440802579406689 -0.82371410818184521 2.1077601328795823 0.32057934263189153 -0.92394580188855646 + 0.77334022161588756 0.61394578495435193 0.11273872462045081 1.1024156502904463 0.2626333941037905 -1.1229075473026615 + 0.97677327669985026 -0.11752942574775121 -1.1368150703389066 2.4264494991586427 0.2786658291986584 -1.016529416617816 + 0.28774354138414543 -0.050526347313819928 -1.4238147408019988 1.5264347799950793 0.1092950518959781 0.012734792466586486 + 1.057398094143861 1.2723353980597474 0.15005231150010384 1.5617138238912101 0.38938524076161518 -1.4796883789613871 + 0.76918164893004703 0.22973679550160658 0.036840705470654239 1.2419994030099997 0.21906453579701982 -1.03722258925948 + 1.1149667772365723 0.73596039283376169 0.53929663655741922 1.1377986716777029 0.37837537493692619 -1.8665424417949463 + + +# name: F +# type: matrix +# rows: 4 +# columns: 13 + -0.49961216799536634 0.73574332058745695 -1.4083538751250311 -0.14566206211667387 0.017863211775500584 0.80796356634075106 0.57698638787272005 0.18970642911370528 0.30264542865574517 0.48736324631540151 0.43280092078882426 0.023380488578641501 0.12197145436865042 + 0.065261175045992326 -0.93387431302891188 -1.4183857700013964 1.5389152284998671 -0.074219376625527092 0.58380926566438962 0.56038722785344175 0.13132972371804807 0.96064402796334503 0.73281787741616489 0.082143119004015941 0.29696780946196544 0.01435486322402646 + 0.606362954282331 0.93324459076542632 0.53857160267056992 1.0963840687506055 0.15846728604624788 -0.54797357396866242 0.807299128592188 0.50415868612371417 0.39457565823282115 0.20740929439424316 0.93227336820470807 0.39751988122280979 0.49228114398292655 + 1.1126937083502504 0.25416779924328053 0.59198742296398099 0.753771967611094 0.37990610214780912 -2.1629012180637903 0.58944460252786224 0.4977524141264652 0.74236943137694733 0.32142383705747368 0.6317766560577921 0.46773071857187465 0.78769865360535729 + + +# name: FF +# type: matrix +# rows: 2 +# columns: 4 + 1 1 1 1 + 1 1 1 1 + + +# name: G +# type: matrix +# rows: 4 +# columns: 6 + -1.9984486719814654 5.8859465646996556 -16.900246501500373 -2.330592993866782 0.35726423551001169 19.391125592178025 + 0.32630587522996163 -8.4048688172602066 -18.439015010018153 26.16155888449774 -1.558606909136069 14.59523164160974 + 3.638177725693986 9.3324459076542627 7.5400024373879786 19.734913237510899 3.4862802930174532 -14.247312923185223 + 7.7888559584517525 2.7958457916760859 8.8798113444597142 14.321667384610786 8.73784034939961 -58.39833288772234 + + +# name: GG +# type: matrix +# rows: 5 +# columns: 5 + 0 0 0 0 0 + 0 0 0 0 0 + 0 0 0 0 0 + 0 0 0 0 0 + 0 0 0 0 0 + + +# name: H +# type: sq_string +# elements: 1 +# length: 24 +This is a symbols vector + + +# name: L +# type: complex matrix +# rows: 1 +# columns: 2 + (-2,23.100000000000001) (3,-5.5999999999999996) + + +# name: M +# type: matrix +# rows: 4 +# columns: 6 + -0.44409970488477007 1.3079881254888124 -3.7556103336667497 -0.51790955419261819 0.079392052335558155 4.3091390204840057 + 0.072512416717769257 -1.8677486260578238 -4.0975588911151455 5.8136797521106089 -0.34635709091912648 3.2433848092466087 + 0.808483939043108 2.0738768683676141 1.6755560971973287 4.3855362750024218 0.77472895400387853 -3.1660695384856052 + 1.7308568796559449 0.621299064816908 1.9732914098799366 3.1825927521357302 1.9417422998665801 -12.977407308382743 + + +# name: NN +# type: matrix +# rows: 1 +# columns: 20 + 11.5 12.689473684210526 13.878947368421052 15.06842105263158 16.257894736842104 17.44736842105263 18.63684210526316 19.826315789473686 21.015789473684212 22.205263157894738 23.394736842105264 24.58421052631579 25.773684210526316 26.963157894736842 28.152631578947371 29.342105263157897 30.531578947368423 31.721052631578949 32.910526315789475 34.100000000000001 + + +# name: ans +# type: scalar +156 + + +# name: dinv +# type: matrix +# rows: 4 +# columns: 4 + 0.54922357193948401 -0.096613343540855962 -0.14780056377925344 0.29179204606192699 + -0.096613343540855962 0.2034495802200994 -0.010114999759658898 -0.0043428192489578452 + -0.14780056377925344 -0.010114999759658898 0.71004096904783931 -0.39860747778408595 + 0.29179204606192699 -0.0043428192489578452 -0.39860747778408595 0.45464142082732445 + + +# name: dt +# type: scalar +103.70328629132538 + + +# name: elem +# type: scalar +28 + + +# name: i +# type: scalar +6 + + +# name: k +# type: scalar +7 + + +# name: nm +# type: matrix +# rows: 1 +# columns: 2 + 4 7 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z_IH#Y9iw53gzrGp*!5QkiqrJJMg2UF_y>|wO$FE;Nb4Vh9NA$bd>`AzG`RwY8*_G3g;~I}B z+>%N|lAS)NtT*#Ed$(3(j{nP!&k@a3*6_wUy?&M#I)Lg+L?M=V4F)M*(Al$4GK!{= z1A{Ic7^LJcLYEFedr*y(qp3^Gv(el{C*UF_I=jXkk`&w(H6uZ1N zpegN6DbZ+2e?(59u$jr}yt3-4)YniAwwD$S&`mLoS zdUHnx`8U4sd+RM2==IbDFz0qN$#kF@#B0ntnXqaH-H4`7PfH9^(3Ayg>&(guUBU@E zh=NZq*$q-^4J24(OvZvgk%CU_HjBQ}uOGQglYkDREEOJN-h?xAoo$LT4HxJ6*GKq= zA~!~q*Tdav4v%hT+k0Zfr;eiMj)Iyihy13B=z^Kczb%#NvC0P74Rh(^==E_t1?Vd3 zWbVV5yt1UKH?N9)XST6mMl?NR+GQHcUjvdccY5MYm_ZHVNke@#Ge;(Px# literal 0 HcmV?d00001 diff --git a/ТЕМА1/report.md b/ТЕМА1/report.md new file mode 100644 index 0000000..8faac26 --- /dev/null +++ b/ТЕМА1/report.md @@ -0,0 +1,651 @@ +#Отчет по теме 1 +Шабанова Рания, А-03-24 + +## 1 Изучение среды GNU Octave. + + +## 2 Настройка текущего каталога. +Нажала на окно рядом с *Текущая папка:* и установила путь к папке ТЕМА1: +![скриншот выбора текущей папки](figure1.png) + + +## 3 Настройка командного окна. +Нажала на *Окно* и отметила галочками нужные закладки: +![скриншот настроенного интерфейса](figure3.png) + + +## 4 Установка пути к папкам. +В главном меню нажала "Правка"+"Установить путь" и добавила пути к папкам ТЕМА1 и ТЕМА2: +![скриншот выбора путей](figure4.png) + + +## 5 Изучение работы со справкой. + "Справка"+"Документация"+"На диске" -> GNU Octave Manual -> Function Index + + Команда help Пример работы команды: +```matlab +>> help randn +'randn' is a built-in function from the file libinterp/corefcn/rand.cc + + -- X = randn (N) + -- X = randn (M, N, ...) + -- X = randn ([M N ...]) + -- X = randn (..., "single") + -- X = randn (..., "double") + -- V = randn ("state") + -- randn ("state", V) + -- randn ("state", "reset") + -- V = randn ("seed") + -- randn ("seed", V) + -- randn ("seed", "reset") + Return a matrix with normally distributed random elements having + zero mean and variance one. + + The arguments are handled the same as the arguments for ‘rand’. + + By default, ‘randn’ uses the Marsaglia and Tsang "Ziggurat + technique" to transform from a uniform to a normal distribution. + + The class of the value returned can be controlled by a trailing + "double" or "single" argument. These are the only valid classes. + + Reference: G. Marsaglia and W.W. Tsang, ‘Ziggurat Method for + Generating Random Variables’, J. Statistical Software, vol 5, 2000, + + + See also: rand, rande, randg, randp. + +Additional help for built-in functions and operators is +available in the online version of the manual. Use the command +'doc ' to search the manual index. + +Help and information about Octave is also available on the WWW +at https://www.octave.org and https://octave.discourse.group/c/help/ +``` + Для дополнительно подгружаемых пакетов "Справка"+"Пакеты Octave" + + +## 6 Создание матриц и векторов. +Из-за постоянных предупреждений воспользовалаь командой: +```matlab +>> warning('off','all') +``` + +Создание матрицы со случайными, нормально распределенными элементами: +```matlab +>>A = randn(4, 6) +A = + -0.4321 1.1729 0.3541 1.5892 0.4530 0.2627 + -1.7323 -0.9788 -0.4989 1.6601 0.7393 0.2212 + 0.7755 -1.0102 0.2191 -0.2449 0.3585 0.2069 + 1.1003 0.5001 -0.2061 -2.0966 1.6449 -1.0841 +``` + +Создание матрицы со случайными, равномерно распределенными элементами в диапазоне от 0 до 1: +```matlab +>> B = rand(4, 7) + +B = + + 0.373271 0.844238 0.711102 0.953539 0.219433 0.675295 0.340843 + 0.551754 0.356287 0.959939 0.909888 0.696343 0.642488 0.113784 + 0.084194 0.670743 0.578236 0.339736 0.720005 0.705143 0.967447 + 0.128237 0.483455 0.044278 0.968504 0.127631 0.899501 0.195310 +``` + +Создание вектора с целыми числами от 4 до 27: +```matlab +>> C = 4 : 27 + +C = + + Columns 1 through 18: + + 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 + + Columns 19 through 24: + + 22 23 24 25 26 27 +``` + +Создание символьного вектора: +```matlab +>> H = 'This is a symbols vector' + +H = This is a symbols vector +``` + +Создание вектора-строки с двумя комплексными элементами: +```matlab +>> L = [-2+23.1j, 3-5.6j] + +L = + + -2.0000 + 23.1000i 3.0000 - 5.6000i +``` + + +## 7 Операции с матрицами. + +Преобразование вектора С в матрицу с 6 столбцами: +```matlab +>> D=reshape(C,[],6) + +D = + + 4 8 12 16 20 24 + 5 9 13 17 21 25 + 6 10 14 18 22 26 + 7 11 15 19 23 27 +``` + +Матричное перемножение матриц А и В с транспонированием матрицы В: +```matlab +>> E=B'*A + +E = + + -0.910683 -0.123162 -0.151095 1.219653 0.818133 0.098530 + 0.070163 0.205633 0.168516 0.755192 1.681531 -0.084697 + -1.472997 -0.667516 -0.109583 2.489169 1.311971 0.470816 + -0.659044 0.368938 -0.241469 0.912002 2.819514 -0.527820 + -0.602273 -1.087712 -0.138278 1.060741 1.082316 0.222294 + 0.131844 -0.099328 -0.112298 0.081094 2.513291 -0.509676 + 0.620796 -0.591256 0.235644 0.084094 0.906638 0.103147 +``` + +Создание матрицы путем горизонтального соединения матриц А и В: +```matlab +>> F=[A,B] + +F = + + Columns 1 through 8: + + -0.432076 1.172859 0.354099 1.589192 0.452953 0.262740 0.373271 0.844238 + -1.732292 -0.978753 -0.498940 1.660060 0.739344 0.221213 0.551754 0.356287 + 0.775511 -1.010206 0.219102 -0.244935 0.358536 0.206887 0.084194 0.670743 + 1.100337 0.500081 -0.206064 -2.096644 1.644885 -1.084062 0.128237 0.483455 + + Columns 9 through 13: + + 0.711102 0.953539 0.219433 0.675295 0.340843 + 0.959939 0.909888 0.696343 0.642488 0.113784 + 0.578236 0.339736 0.720005 0.705143 0.967447 + 0.044278 0.968504 0.127631 0.899501 0.195310 +``` + +Поэлементное перемножение матриц: +```matlab +>> G=A.*D + +G = + + -1.7283 9.3829 4.2492 25.4271 9.0591 6.3058 + -8.6615 -8.8088 -6.4862 28.2210 15.5262 5.5303 + 4.6531 -10.1021 3.0674 -4.4088 7.8878 5.3791 + 7.7024 5.5009 -3.0910 -39.8362 37.8323 -29.2697 +``` + +Поэлементное деление матрицы G на 4.5: +```matlab +>> M=G./4.5 + +M = + + -0.3841 2.0851 0.9443 5.6505 2.0131 1.4013 + -1.9248 -1.9575 -1.4414 6.2713 3.4503 1.2290 + 1.0340 -2.2449 0.6816 -0.9797 1.7528 1.1953 + 1.7116 1.2224 -0.6869 -8.8525 8.4072 -6.5044 +``` + +Поэлементное возведение в степень матрицы D: +```matlab +>> DDD=D.^3 + +DDD = + + 64 512 1728 4096 8000 13824 + 125 729 2197 4913 9261 15625 + 216 1000 2744 5832 10648 17576 + 343 1331 3375 6859 12167 19683 +``` + +Создание логической матрицы, которая совпадает по размерам с матрицей D по заданному условию: +```matlab +>> DL=D>=20 + +DL = + + 0 0 0 0 1 1 + 0 0 0 0 1 1 + 0 0 0 0 1 1 + 0 0 0 0 1 1 +``` + +Превращение матрицы в вектор-столбец: +```matlab +>> Dstolb=D(:) + +Dstolb = + + 4 + 5 + 6 + 7 + 8 + 9 + 10 + 11 + 12 + 13 + 14 + 15 + 16 + 17 + 18 + 19 + 20 + 21 + 22 + 23 + 24 + 25 + 26 + 27 +``` + + +## 8 Математические операции с матрицами. + +Корень элемента: +```matlab +>> B1=sqrt(B) + +B1 = + + 0.6110 0.9188 0.8433 0.9765 0.4684 0.8218 0.5838 + 0.7428 0.5969 0.9798 0.9539 0.8345 0.8016 0.3373 + 0.2902 0.8190 0.7604 0.5829 0.8485 0.8397 0.9836 + 0.3581 0.6953 0.2104 0.9841 0.3573 0.9484 0.4419 +``` + +Логарифм элемента: +```matlab +>> B2=log(B) + +B2 = + + -0.985451 -0.169321 -0.340939 -0.047575 -1.516709 -0.392605 -1.076334 + -0.594652 -1.032019 -0.040885 -0.094434 -0.361912 -0.442407 -2.173455 + -2.474630 -0.399370 -0.547774 -1.079588 -0.328497 -0.349355 -0.033094 + -2.053872 -0.726797 -3.117275 -0.032002 -2.058612 -0.105915 -1.633166 +``` + +Синус элемента: +```matlab +>> B3=sin(B) + +B3 = + + 0.364663 0.747465 0.652669 0.815469 0.217676 0.625128 0.334282 + 0.524182 0.348797 0.819157 0.789435 0.641417 0.599189 0.113538 + 0.084095 0.621568 0.546547 0.333238 0.659388 0.648143 0.823440 + 0.127886 0.464841 0.044263 0.824039 0.127285 0.783016 0.194071 +``` + +Другие операции с матрицами. + +Длина матрицы: +```matlab +k=length(B1) + +k = 7 +``` + +Размер матрицы: +```matlab +>> nm=size(B1) + +nm = + + 4 7 +``` + +Количество элементов в матрице: +```matlab +>> elem=numel(B1) + +elem = 28 +``` + +Матрица из 20 элементов со значениями от 11.5 до 34.1: +```matlab +>> NN=linspace(11.5,34.1,20) + +NN = + + Columns 1 through 10: + + 11.500 12.689 13.879 15.068 16.258 17.447 18.637 19.826 21.016 22.205 + + Columns 11 through 20: + + 23.395 24.584 25.774 26.963 28.153 29.342 30.532 31.721 32.911 34.100 +``` + +Единичная матрица 2х4: +```matlab +>> FF=ones(2,4) + +FF = + + 1 1 1 1 + 1 1 1 1 +``` + +Нулевая квадратная матрица 5х5: +```matlab +>> GG=zeros(5) + +GG = + + 0 0 0 0 0 + 0 0 0 0 0 + 0 0 0 0 0 + 0 0 0 0 0 + 0 0 0 0 0 +``` + +Элементы главной диагонали матрицы: +```matlab +>> B1D=diag(B1) + +B1D = + + 0.6110 + 0.5969 + 0.7604 + 0.9841 +``` + +Расположение элементов по главной диагонали: +```matlab +>> DB=diag(B1D) + +DB = + +Diagonal Matrix + + 0.6110 0 0 0 + 0 0.5969 0 0 + 0 0 0.7604 0 + 0 0 0 0.9841 +``` + +Сортировка значений матрицы по возрастанию: +```matlab +>> BS1=sort(B) + +BS1 = + + 0.084194 0.356287 0.044278 0.339736 0.127631 0.642488 0.113784 + 0.128237 0.483455 0.578236 0.909888 0.219433 0.675295 0.195310 + 0.373271 0.670743 0.711102 0.953539 0.696343 0.705143 0.340843 + 0.551754 0.844238 0.959939 0.968504 0.720005 0.899501 0.967447 +``` + +Сортировка строк матрицы по возрастанию по определенному столбцу(): +```matlab +>> BS2=sortrows(B,2) + +BS2 = + + 0.551754 0.356287 0.959939 0.909888 0.696343 0.642488 0.113784 + 0.128237 0.483455 0.044278 0.968504 0.127631 0.899501 0.195310 + 0.084194 0.670743 0.578236 0.339736 0.720005 0.705143 0.967447 + 0.373271 0.844238 0.711102 0.953539 0.219433 0.675295 0.340843 +``` + +Суммирование строк по колонне: +```matlab +>> DS1=sum(D) + +DS1 = + + 22 38 54 70 86 102 +``` + +Суммирование столбоцов по строке: +```matlab +>> DS2=sum(D,2) + +DS2 = + + 84 + 90 + 96 + 102 +``` + +Перемножение строк по столбцам: +```matlab +DP1=prod(D) + +DP1 = + + 840 7920 32760 93024 212520 421200 +``` + +Нахождение определителя произведения матрицы на её же транспонированную матрицу: +```matlab +dt=det(A*A') + +dt = 225.78 +``` + +Обратная матрицы для произведения матрицы А на её же транспонированную матрицу: +```matlab +>> dinv=inv(A*A') + +dinv = + + 0.396533 -0.082236 0.287856 0.039764 + -0.082236 0.209140 -0.061884 0.086233 + 0.287856 -0.061884 0.777679 -0.040941 + 0.039764 0.086233 -0.040941 0.161014 +``` + + +## 9 Индексация элементов матрицы: + +Извлечение элемента, находящегося на пересечении 3 строки и 5 столбца матрицы: +```matlab +>> D1=D(3,5) + +D1 = 22 +``` + +Извлечение части 3 строки матрицы D с 4 столбца и до конца: +```matlab +>> D2=D(3,4:end) + +D2 = + + 18 22 26 +``` + +Извлечение подматрицы из матрицы D строки со 2 по 3 и столбцы с 3 по 5: +```matlab +>> D3=D(2:3,3:5) + +D3 = + + 13 17 21 + 14 18 22 +``` + +Извлечение элементов с 16 по 20 включительно из матрицы D как вектор: +```matlab +>> D4=D(16:20) + +D4 = + + 19 20 21 22 23 +``` + +Извлечение подматрицы из D: строки 3–4 и столбцы 1, 3 и 6: +```matlab +>> D5=D(3:4,[1,3,6]) + +D5 = + + 6 14 26 + 7 15 27 +``` + + +## 10 Изучение некоторых управляющих конструкций. + +Цикл по перечислению (С 1 по 6 столбец): +```matlab +>> Dsum=0 + +Dsum = 0 +>> for i=1:6 + +Dsum=Dsum+sqrt(D(2,i)) + +endfor +Dsum = 2.2361 +Dsum = 5.2361 +Dsum = 8.8416 +Dsum = 12.965 +Dsum = 17.547 +Dsum = 22.547 +``` + +Цикл пока выполняется условие (он продолжается, пока значение первого элемента матрицы D меньше 22): +```matlab +>> Dsum2=0;i=1 + +i = 1 +>> while (D(i)<22) + +Dsum2=Dsum2+sin(D(i)) + +i=i+1 + +endwhile + +Dsum2 = -0.7568 +i = 2 +Dsum2 = -1.7157 +i = 3 +Dsum2 = -1.9951 +i = 4 +Dsum2 = -1.3382 +i = 5 +Dsum2 = -0.3488 +i = 6 +Dsum2 = 0.063321 +i = 7 +Dsum2 = -0.4807 +i = 8 +Dsum2 = -1.4807 +i = 9 +Dsum2 = -2.0173 +i = 10 +Dsum2 = -1.5971 +i = 11 +Dsum2 = -0.6065 +i = 12 +Dsum2 = 0.043799 +i = 13 +Dsum2 = -0.2441 +i = 14 +Dsum2 = -1.2055 +i = 15 +Dsum2 = -1.9565 +i = 16 +Dsum2 = -1.8066 +i = 17 +Dsum2 = -0.8937 +i = 18 +Dsum2 = -0.057011 +i = 19 +``` + +Условие if (проверка условия, что значение в матрице D в 3 строке и 5 столбце >=20) +```matlab +>> if (D(3,5)>=20) + +printf('D(3,5)>=20') + +else + +printf('D(3,5)<20') + +endif + +D(3,5)>=20 +``` + + +## 11 Использование графических функций. + +Функция построения графиков: +```matlab +>> plot(D(1,:),B([2,4],1:6)) +``` +![скриншот графика](figure11.png) + +Функция расчета и построения гистограммы: +```matlab +>> hist(A(:),6) +``` +![скриншот гистограммы](figure11.1.png) + +Функция графика "Пирог": +```matlab +>> pie(C) +``` +![скриншот пирога](figure11.2.png) + +Функция столбчатой диаграммы: +```matlab +>> bar(B) +``` +![скриншот диаграммы](figure11.3.png) + + +## 12 Изучение работы с текстовым редактором среды. +Создала файл и занесла в него команды из 9 пункта: +![скриншот команд](figure12.png) +```matlab +>> Prog1 +D1 = 22 +D2 = + + 18 22 26 + +D3 = + + 13 17 21 + 14 18 22 + +D4 = + + 19 20 21 22 23 + +D5 = + + 6 14 26 + 7 15 27 +``` + + +## 13 Файлы переменных. +Создала файл переменных (Perem),перезапустила IDE, загрузила область переменных: +![скриншот конечный](figure13.png) +