ответвлено от main/it-labs
419 строки
9.6 KiB
Markdown
419 строки
9.6 KiB
Markdown
#ОТЧЁТ
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##2
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##3
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##4
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##5
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>> help randn
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'randn' is a built-in function from the file libinterp/corefcn/rand.cc
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-- X = randn (N)
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-- X = randn (M, N, ...)
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-- X = randn ([M N ...])
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-- X = randn (..., "single")
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-- X = randn (..., "double")
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-- V = randn ("state")
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-- randn ("state", V)
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-- randn ("state", "reset")
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-- V = randn ("seed")
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-- randn ("seed", V)
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-- randn ("seed", "reset")
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Return a matrix with normally distributed random elements having
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zero mean and variance one.
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##6
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матрица А со случайными, нормально распределенными элементами, с 4 строками и 6 столбцами
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>> A=randn(4,6)
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A =
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-0.7052 -0.8818 -1.1144 -0.4998 0.8084 -0.8141
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-0.7136 0.2865 -0.2747 -1.9414 -0.6845 -0.4213
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-0.9317 0.4764 -1.1302 0.2482 -1.3404 -0.6040
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-2.0625 1.1710 0.2332 -0.1656 0.3384 -1.2633
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матрица В 4х7 со случайными элементами, равномерно распределенными в диапазоне от 0 до
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>> B=rand(4,7)
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B =
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0.302148 0.404094 0.234567 0.840058 0.376967 0.056362 0.878047
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0.432837 0.917329 0.366490 0.251031 0.275377 0.231369 0.144644
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0.838462 0.839366 0.019972 0.766134 0.849156 0.936181 0.652944
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0.910177 0.241217 0.295250 0.365846 0.103967 0.640409 0.132252
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вектор С с целыми числами от 4 до 27
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>> C = 4:27
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C =
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4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27
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- символьный вектор Н
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>> H="This is a symbols vector"
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H = This is a symbols vector
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- вектор-строка L с 2 комплексными элементами
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>> L=[-2+23.1j, 3-5.6j]
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L =
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-2.0000 + 23.1000i 3.0000 - 5.6000i
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##7
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преобразование матрицы С в матрицу с 6 столбцами
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>> D=reshape(C,[],6)
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D =
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4 8 12 16 20 24
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5 9 13 17 21 25
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6 10 14 18 22 26
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7 11 15 19 23 27
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- матричное перемножение В и А с транспонированием матрицы В (число столбцов в В должно совпадать с числом строк в А)
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>> E=B'*A
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E =
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-3.180346 1.322897 -1.191036 -0.933906 -0.867910 -2.084580
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-2.219046 0.588858 -1.594785 -1.814432 -1.344676 -1.527155
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-1.054488 0.253421 -0.315813 -0.872676 0.011914 -0.730410
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-2.239845 0.124593 -1.785729 -0.777626 -0.395859 -1.714559
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-1.467883 0.272803 -1.431254 -0.529445 -0.986784 -1.067140
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-2.397905 1.212558 -1.035136 -0.350995 -1.150975 -1.517838
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-1.603472 -0.266859 -1.725379 -0.579492 -0.219650 -1.337202
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- создание матрицы путем «горизонтального» соединения матриц А и В (числа строк у соединяемых матриц должны совпадать)
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>> F=[A,B]
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F =
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Columns 1 through 9:
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-0.705157 -0.881795 -1.114405 -0.499831 0.808407 -0.814087 0.302148 0.404094 0.234567
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-0.713565 0.286495 -0.274745 -1.941373 -0.684453 -0.421308 0.432837 0.917329 0.366490
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-0.931664 0.476435 -1.130236 0.248249 -1.340418 -0.604009 0.838462 0.839366 0.019972
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-2.062523 1.171037 0.233207 -0.165606 0.338372 -1.263280 0.910177 0.241217 0.295250
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Columns 10 through 13:
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0.840058 0.376967 0.056362 0.878047
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0.251031 0.275377 0.231369 0.144644
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0.766134 0.849156 0.936181 0.652944
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0.365846 0.103967 0.640409 0.132252
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- поэлементное перемножение матриц A и D (размеры матриц должны совпадать)
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G=A.*D
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G =
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-2.8206 -7.0544 -13.3729 -7.9973 16.1681 -19.5381
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-3.5678 2.5785 -3.5717 -33.0033 -14.3735 -10.5327
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-5.5900 4.7644 -15.8233 4.4685 -29.4892 -15.7042
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-14.4377 12.8814 3.4981 -3.1465 7.7826 -34.1085
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поэлементное деление элементов матрицы G на 4.5
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M=G./4.5
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M =
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-0.6268 -1.5676 -2.9717 -1.7772 3.5929 -4.3418
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-0.7929 0.5730 -0.7937 -7.3341 -3.1941 -2.3406
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-1.2422 1.0587 -3.5163 0.9930 -6.5532 -3.4898
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-3.2084 2.8625 0.7774 -0.6992 1.7295 -7.5797
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поэлементное возведение в степень элементов матрицы D
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>> DDD=D.^3
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DDD =
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64 512 1728 4096 8000 13824
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125 729 2197 4913 9261 15625
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216 1000 2744 5832 10648 17576
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343 1331 3375 6859 12167 19683
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создание логической матрицы, совпадающей по размерам с D и с элементами по заданному условию
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>> DL=D>=20
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DL =
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0 0 0 0 1 1
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0 0 0 0 1 1
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0 0 0 0 1 1
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0 0 0 0 1 1
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превращение матрицы в вектор-столбец
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Dstolb=D(:)
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Dstolb =
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4
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5
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6
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11
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25
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27
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##8
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математические функции:
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B1=sqrt(B)
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B1 =
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0.5497 0.6357 0.4843 0.9165 0.6140 0.2374 0.9370
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0.6579 0.9578 0.6054 0.5010 0.5248 0.4810 0.3803
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0.9157 0.9162 0.1413 0.8753 0.9215 0.9676 0.8080
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0.9540 0.4911 0.5434 0.6049 0.3224 0.8003 0.3637
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>> B2=log(B)
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B2 =
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-1.196838 -0.906107 -1.450013 -0.174285 -0.975597 -2.875958 -0.130055
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-0.837393 -0.086289 -1.003783 -1.382178 -1.289614 -1.463741 -1.933480
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-0.176186 -0.175109 -3.913414 -0.266398 -0.163512 -0.065946 -0.426264
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-0.094116 -1.422060 -1.219933 -1.005544 -2.263684 -0.445649 -2.023044
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B3=sin(B)
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B3 =
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0.297572 0.393186 0.232422 0.744682 0.368102 0.056332 0.769493
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0.419448 0.793981 0.358341 0.248403 0.271910 0.229310 0.144140
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0.743616 0.744220 0.019971 0.693355 0.750723 0.805300 0.607527
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0.789613 0.238884 0.290979 0.357739 0.103780 0.597523 0.131867
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операции с матрицами
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>> k=length(B1)
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k = 7
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>> nm=size(B1)
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nm =
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4 7
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>> elem=numel(B1)
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elem = 28
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>> NN=linspace(11.5,34.1,20)
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NN =
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Columns 1 through 15:
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11.500 12.689 13.879 15.068 16.258 17.447 18.637 19.826 21.016 22.205 23.395 24.584 25.774 26.963 28.153
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Columns 16 through 20:
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29.342 30.532 31.721 32.911 34.100
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>> FF=ones(2,4)
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FF =
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1 1 1 1
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1 1 1 1
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>> GG=zeros(5)
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GG =
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0 0 0 0 0
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0 0 0 0 0
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0 0 0 0 0
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0 0 0 0 0
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0 0 0 0 0
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>> B1D=diag(B1)
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B1D =
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0.5497
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0.9578
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0.1413
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0.6049
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>> DB=diag(B1D)
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DB =
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Diagonal Matrix
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0.5497 0 0 0
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0 0.9578 0 0
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0 0 0.1413 0
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0 0 0 0.6049
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>> BS1=sort(B)
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BS1 =
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0.302148 0.241217 0.019972 0.251031 0.103967 0.056362 0.132252
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0.432837 0.404094 0.234567 0.365846 0.275377 0.231369 0.144644
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0.838462 0.839366 0.295250 0.766134 0.376967 0.640409 0.652944
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0.910177 0.917329 0.366490 0.840058 0.849156 0.936181 0.878047
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>> BS2=sortrows(B,2)
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BS2 =
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0.910177 0.241217 0.295250 0.365846 0.103967 0.640409 0.132252
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0.302148 0.404094 0.234567 0.840058 0.376967 0.056362 0.878047
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0.838462 0.839366 0.019972 0.766134 0.849156 0.936181 0.652944
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0.432837 0.917329 0.366490 0.251031 0.275377 0.231369 0.144644
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>> DS1=sum(D)
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DS1 =
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22 38 54 70 86 102
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>> DS2=sum(D,2)
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DS2 =
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84
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90
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96
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102
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>> DP1=prod(D)
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DP1 =
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840 7920 32760 93024 212520 421200
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>> dt=det(A*A')
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dt = 407.92
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>> dinv=inv(A*A')
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dinv =
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2.7761e-01 -5.1542e-02 -5.5301e-03 -3.9597e-02
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-5.1542e-02 2.5608e-01 -6.5104e-02 -4.9109e-02
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-5.5301e-03 -6.5104e-02 2.8356e-01 -7.3056e-02
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-3.9597e-02 -4.9109e-02 -7.3056e-02 1.8320e-01
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##9
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Изучите работу с индексацией элементов матриц.
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>> D1=D(3,5)
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D1 = 22
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>> D2=D(3,4:end)
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D2 =
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18 22 26
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>> D3=D(2:3,3:5)
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D3 =
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13 17 21
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14 18 22
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>> D4=D(16:20)
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D4 =
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19 20 21 22 23
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>> D5=D(3:4,[1,3,6])
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D5 =
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6 14 26
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7 15 27
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##10
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цикл по перечислению
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>> Dsum=0
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Dsum = 0
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>> for i=1:6
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Dsum=Dsum+sqrt(D(2,i))
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endfor
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Dsum = 2.2361
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Dsum = 5.2361
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Dsum = 8.8416
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Dsum = 12.965
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Dsum = 17.547
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Dsum = 22.547
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- цикл пока выполняется условие
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>> Dsum2=0;i=1
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i = 1
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>> while (D(i)<22)
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Dsum2=Dsum2+sin(D(i))
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i=i+1
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endwhile
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Dsum2 = -0.7568
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i = 2
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Dsum2 = -1.7157
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i = 3
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Dsum2 = -1.9951
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i = 4
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Dsum2 = -1.3382
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i = 5
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Dsum2 = -0.3488
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i = 6
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Dsum2 = 0.063321
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i = 7
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Dsum2 = -0.4807
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i = 8
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Dsum2 = -1.4807
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i = 9
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Dsum2 = -2.0173
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i = 10
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Dsum2 = -1.5971
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i = 11
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Dsum2 = -0.6065
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i = 12
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Dsum2 = 0.043799
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i = 13
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Dsum2 = -0.2441
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i = 14
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Dsum2 = -1.2055
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i = 15
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Dsum2 = -1.9565
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i = 16
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Dsum2 = -1.8066
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i = 17
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Dsum2 = -0.8937
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i = 18
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Dsum2 = -0.057011
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i = 19
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условие if
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if (D(3,5)>=20)
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printf('D(3,5)>=20')
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else
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printf('D(3,5)<20')
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endif
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D(3,5)>=20>
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##11
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рассмотрите функцию построения графиков
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>> plot(D(1,:),B([2,4],1:6))
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примените функцию расчета и построения гистограммы
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hist(A(:),6)
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>>pie(C)
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>> bar(C)
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##12
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>> Prog1
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D1 = 22
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D2 =
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18 22 26
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D3 =
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13 17 21
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14 18 22
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D4 =
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19 20 21 22 23
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D5 =
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6 14 26
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7 15 27
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##13
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создали файл перем
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