diff --git a/ТЕМА1/obsh_kontr_zadacha.txt b/ТЕМА1/obsh_kontr_zadacha.txt new file mode 100644 index 0000000..d13d918 --- /dev/null +++ b/ТЕМА1/obsh_kontr_zadacha.txt @@ -0,0 +1,1037 @@ +# Общее контрольное задание по теме 1 + +Широков Максим, А-03-24 + +## Задание 1 + +Создайте переменную ММ – матрицу 5х7 со случайными нормально рас-пределенными элементами с математическим ожиданием 10 и стандартным отклонением 8. + +## Решение + +```matlab +>> MM=10+8*randn(5,7) + Columns 1 through 6: + + 14.8642 7.4601 12.2168 15.0113 0.7529 1.8696 + 13.5325 -3.7030 22.1122 10.5911 -0.2105 4.3722 + 8.6750 19.5822 -5.7484 -0.8421 9.9208 3.5310 + 3.9887 9.2919 16.1372 6.8814 11.2805 11.6426 + 3.7120 4.0130 12.4511 6.7468 15.6227 2.7674 + + Column 7: + + -1.5336 + 17.0036 + 0.2230 + 6.5276 + 10.8773 +``` + +## Задание 2 + +Рассчитайте среднее значение SR по всем элементам матрицы ММ. + +## Решение + +```matlab +>> DS1=sum(MM) +DS1 = + + 44.772 36.644 57.169 38.388 37.366 24.183 33.098 + +>> DS2=sum(DS1) +DS2 = 271.62 +>> SR=sum(DS1)/35 +SR = 7.7606 +``` + +## Задание 3 + +Замените в ММ все значения, превышающие SR+8, на значение SR+8, а значения, меньшие, чем SR-8, - на SR-8 + +## Решение + +```matlab + for i=1:5 + for j=1:7 + if (MM(i,j)>(SR+8)) + MM(i,j)=SR+8 + else + MM(i,j)=SR-8 + endif + endfor + endfor +MM = + + -0.2394 -0.2394 -0.2394 -0.2394 -0.2394 1.8696 -1.5336 + -0.2394 -0.2394 -0.2394 -0.2394 -0.2394 4.3722 17.0036 + -0.2394 -0.2394 -0.2394 -0.2394 -0.2394 3.5310 0.2230 + -0.2394 -0.2394 -0.2394 -0.2394 -0.2394 11.6426 6.5276 + -0.2394 -0.2394 -0.2394 -0.2394 -0.2394 2.7674 10.8773 + +MM = + + -0.2394 -0.2394 -0.2394 -0.2394 -0.2394 1.8696 -1.5336 + -0.2394 -0.2394 -0.2394 -0.2394 -0.2394 4.3722 17.0036 + -0.2394 -0.2394 -0.2394 -0.2394 -0.2394 3.5310 0.2230 + -0.2394 -0.2394 -0.2394 -0.2394 -0.2394 11.6426 6.5276 + -0.2394 -0.2394 -0.2394 -0.2394 -0.2394 2.7674 10.8773 + +MM = + + -0.2394 -0.2394 -0.2394 -0.2394 -0.2394 1.8696 -1.5336 + -0.2394 -0.2394 -0.2394 -0.2394 -0.2394 4.3722 17.0036 + -0.2394 -0.2394 -0.2394 -0.2394 -0.2394 3.5310 0.2230 + -0.2394 -0.2394 -0.2394 -0.2394 -0.2394 11.6426 6.5276 + -0.2394 -0.2394 -0.2394 -0.2394 -0.2394 2.7674 10.8773 + +MM = + + -0.2394 -0.2394 -0.2394 -0.2394 -0.2394 1.8696 -1.5336 + -0.2394 -0.2394 -0.2394 -0.2394 -0.2394 4.3722 17.0036 + -0.2394 -0.2394 -0.2394 -0.2394 -0.2394 3.5310 0.2230 + -0.2394 -0.2394 -0.2394 -0.2394 -0.2394 11.6426 6.5276 + -0.2394 -0.2394 -0.2394 -0.2394 -0.2394 2.7674 10.8773 + +MM = + + -0.2394 -0.2394 -0.2394 -0.2394 -0.2394 1.8696 -1.5336 + -0.2394 -0.2394 -0.2394 -0.2394 -0.2394 4.3722 17.0036 + -0.2394 -0.2394 -0.2394 -0.2394 -0.2394 3.5310 0.2230 + -0.2394 -0.2394 -0.2394 -0.2394 -0.2394 11.6426 6.5276 + -0.2394 -0.2394 -0.2394 -0.2394 -0.2394 2.7674 10.8773 + +MM = + + -0.2394 -0.2394 -0.2394 -0.2394 -0.2394 -0.2394 -1.5336 + -0.2394 -0.2394 -0.2394 -0.2394 -0.2394 4.3722 17.0036 + -0.2394 -0.2394 -0.2394 -0.2394 -0.2394 3.5310 0.2230 + -0.2394 -0.2394 -0.2394 -0.2394 -0.2394 11.6426 6.5276 + -0.2394 -0.2394 -0.2394 -0.2394 -0.2394 2.7674 10.8773 + +MM = + + -0.2394 -0.2394 -0.2394 -0.2394 -0.2394 -0.2394 -0.2394 + -0.2394 -0.2394 -0.2394 -0.2394 -0.2394 4.3722 17.0036 + -0.2394 -0.2394 -0.2394 -0.2394 -0.2394 3.5310 0.2230 + -0.2394 -0.2394 -0.2394 -0.2394 -0.2394 11.6426 6.5276 + -0.2394 -0.2394 -0.2394 -0.2394 -0.2394 2.7674 10.8773 + +MM = + + -0.2394 -0.2394 -0.2394 -0.2394 -0.2394 -0.2394 -0.2394 + -0.2394 -0.2394 -0.2394 -0.2394 -0.2394 4.3722 17.0036 + -0.2394 -0.2394 -0.2394 -0.2394 -0.2394 3.5310 0.2230 + -0.2394 -0.2394 -0.2394 -0.2394 -0.2394 11.6426 6.5276 + -0.2394 -0.2394 -0.2394 -0.2394 -0.2394 2.7674 10.8773 + +MM = + + -0.2394 -0.2394 -0.2394 -0.2394 -0.2394 -0.2394 -0.2394 + -0.2394 -0.2394 -0.2394 -0.2394 -0.2394 4.3722 17.0036 + -0.2394 -0.2394 -0.2394 -0.2394 -0.2394 3.5310 0.2230 + -0.2394 -0.2394 -0.2394 -0.2394 -0.2394 11.6426 6.5276 + -0.2394 -0.2394 -0.2394 -0.2394 -0.2394 2.7674 10.8773 + +MM = + + -0.2394 -0.2394 -0.2394 -0.2394 -0.2394 -0.2394 -0.2394 + -0.2394 -0.2394 -0.2394 -0.2394 -0.2394 4.3722 17.0036 + -0.2394 -0.2394 -0.2394 -0.2394 -0.2394 3.5310 0.2230 + -0.2394 -0.2394 -0.2394 -0.2394 -0.2394 11.6426 6.5276 + -0.2394 -0.2394 -0.2394 -0.2394 -0.2394 2.7674 10.8773 + +MM = + + -0.2394 -0.2394 -0.2394 -0.2394 -0.2394 -0.2394 -0.2394 + -0.2394 -0.2394 -0.2394 -0.2394 -0.2394 4.3722 17.0036 + -0.2394 -0.2394 -0.2394 -0.2394 -0.2394 3.5310 0.2230 + -0.2394 -0.2394 -0.2394 -0.2394 -0.2394 11.6426 6.5276 + -0.2394 -0.2394 -0.2394 -0.2394 -0.2394 2.7674 10.8773 + +MM = + + -0.2394 -0.2394 -0.2394 -0.2394 -0.2394 -0.2394 -0.2394 + -0.2394 -0.2394 -0.2394 -0.2394 -0.2394 4.3722 17.0036 + -0.2394 -0.2394 -0.2394 -0.2394 -0.2394 3.5310 0.2230 + -0.2394 -0.2394 -0.2394 -0.2394 -0.2394 11.6426 6.5276 + -0.2394 -0.2394 -0.2394 -0.2394 -0.2394 2.7674 10.8773 + +MM = + + -0.2394 -0.2394 -0.2394 -0.2394 -0.2394 -0.2394 -0.2394 + -0.2394 -0.2394 -0.2394 -0.2394 -0.2394 -0.2394 17.0036 + -0.2394 -0.2394 -0.2394 -0.2394 -0.2394 3.5310 0.2230 + -0.2394 -0.2394 -0.2394 -0.2394 -0.2394 11.6426 6.5276 + -0.2394 -0.2394 -0.2394 -0.2394 -0.2394 2.7674 10.8773 + +MM = + + -0.2394 -0.2394 -0.2394 -0.2394 -0.2394 -0.2394 -0.2394 + -0.2394 -0.2394 -0.2394 -0.2394 -0.2394 -0.2394 15.7606 + -0.2394 -0.2394 -0.2394 -0.2394 -0.2394 3.5310 0.2230 + -0.2394 -0.2394 -0.2394 -0.2394 -0.2394 11.6426 6.5276 + -0.2394 -0.2394 -0.2394 -0.2394 -0.2394 2.7674 10.8773 + +MM = + + -0.2394 -0.2394 -0.2394 -0.2394 -0.2394 -0.2394 -0.2394 + -0.2394 -0.2394 -0.2394 -0.2394 -0.2394 -0.2394 15.7606 + -0.2394 -0.2394 -0.2394 -0.2394 -0.2394 3.5310 0.2230 + -0.2394 -0.2394 -0.2394 -0.2394 -0.2394 11.6426 6.5276 + -0.2394 -0.2394 -0.2394 -0.2394 -0.2394 2.7674 10.8773 + +MM = + + -0.2394 -0.2394 -0.2394 -0.2394 -0.2394 -0.2394 -0.2394 + -0.2394 -0.2394 -0.2394 -0.2394 -0.2394 -0.2394 15.7606 + -0.2394 -0.2394 -0.2394 -0.2394 -0.2394 3.5310 0.2230 + -0.2394 -0.2394 -0.2394 -0.2394 -0.2394 11.6426 6.5276 + -0.2394 -0.2394 -0.2394 -0.2394 -0.2394 2.7674 10.8773 + +MM = + + -0.2394 -0.2394 -0.2394 -0.2394 -0.2394 -0.2394 -0.2394 + -0.2394 -0.2394 -0.2394 -0.2394 -0.2394 -0.2394 15.7606 + -0.2394 -0.2394 -0.2394 -0.2394 -0.2394 3.5310 0.2230 + -0.2394 -0.2394 -0.2394 -0.2394 -0.2394 11.6426 6.5276 + -0.2394 -0.2394 -0.2394 -0.2394 -0.2394 2.7674 10.8773 + +MM = + + -0.2394 -0.2394 -0.2394 -0.2394 -0.2394 -0.2394 -0.2394 + -0.2394 -0.2394 -0.2394 -0.2394 -0.2394 -0.2394 15.7606 + -0.2394 -0.2394 -0.2394 -0.2394 -0.2394 3.5310 0.2230 + -0.2394 -0.2394 -0.2394 -0.2394 -0.2394 11.6426 6.5276 + -0.2394 -0.2394 -0.2394 -0.2394 -0.2394 2.7674 10.8773 + +MM = + + -0.2394 -0.2394 -0.2394 -0.2394 -0.2394 -0.2394 -0.2394 + -0.2394 -0.2394 -0.2394 -0.2394 -0.2394 -0.2394 15.7606 + -0.2394 -0.2394 -0.2394 -0.2394 -0.2394 3.5310 0.2230 + -0.2394 -0.2394 -0.2394 -0.2394 -0.2394 11.6426 6.5276 + -0.2394 -0.2394 -0.2394 -0.2394 -0.2394 2.7674 10.8773 + +MM = + + -0.2394 -0.2394 -0.2394 -0.2394 -0.2394 -0.2394 -0.2394 + -0.2394 -0.2394 -0.2394 -0.2394 -0.2394 -0.2394 15.7606 + -0.2394 -0.2394 -0.2394 -0.2394 -0.2394 -0.2394 0.2230 + -0.2394 -0.2394 -0.2394 -0.2394 -0.2394 11.6426 6.5276 + -0.2394 -0.2394 -0.2394 -0.2394 -0.2394 2.7674 10.8773 + +MM = + + -0.2394 -0.2394 -0.2394 -0.2394 -0.2394 -0.2394 -0.2394 + -0.2394 -0.2394 -0.2394 -0.2394 -0.2394 -0.2394 15.7606 + -0.2394 -0.2394 -0.2394 -0.2394 -0.2394 -0.2394 -0.2394 + -0.2394 -0.2394 -0.2394 -0.2394 -0.2394 11.6426 6.5276 + -0.2394 -0.2394 -0.2394 -0.2394 -0.2394 2.7674 10.8773 + +MM = + + -0.2394 -0.2394 -0.2394 -0.2394 -0.2394 -0.2394 -0.2394 + -0.2394 -0.2394 -0.2394 -0.2394 -0.2394 -0.2394 15.7606 + -0.2394 -0.2394 -0.2394 -0.2394 -0.2394 -0.2394 -0.2394 + -0.2394 -0.2394 -0.2394 -0.2394 -0.2394 11.6426 6.5276 + -0.2394 -0.2394 -0.2394 -0.2394 -0.2394 2.7674 10.8773 + +MM = + + -0.2394 -0.2394 -0.2394 -0.2394 -0.2394 -0.2394 -0.2394 + -0.2394 -0.2394 -0.2394 -0.2394 -0.2394 -0.2394 15.7606 + -0.2394 -0.2394 -0.2394 -0.2394 -0.2394 -0.2394 -0.2394 + -0.2394 -0.2394 -0.2394 -0.2394 -0.2394 11.6426 6.5276 + -0.2394 -0.2394 -0.2394 -0.2394 -0.2394 2.7674 10.8773 + +MM = + + -0.2394 -0.2394 -0.2394 -0.2394 -0.2394 -0.2394 -0.2394 + -0.2394 -0.2394 -0.2394 -0.2394 -0.2394 -0.2394 15.7606 + -0.2394 -0.2394 -0.2394 -0.2394 -0.2394 -0.2394 -0.2394 + -0.2394 -0.2394 -0.2394 -0.2394 -0.2394 11.6426 6.5276 + -0.2394 -0.2394 -0.2394 -0.2394 -0.2394 2.7674 10.8773 + +MM = + + -0.2394 -0.2394 -0.2394 -0.2394 -0.2394 -0.2394 -0.2394 + -0.2394 -0.2394 -0.2394 -0.2394 -0.2394 -0.2394 15.7606 + -0.2394 -0.2394 -0.2394 -0.2394 -0.2394 -0.2394 -0.2394 + -0.2394 -0.2394 -0.2394 -0.2394 -0.2394 11.6426 6.5276 + -0.2394 -0.2394 -0.2394 -0.2394 -0.2394 2.7674 10.8773 + +MM = + + -0.2394 -0.2394 -0.2394 -0.2394 -0.2394 -0.2394 -0.2394 + -0.2394 -0.2394 -0.2394 -0.2394 -0.2394 -0.2394 15.7606 + -0.2394 -0.2394 -0.2394 -0.2394 -0.2394 -0.2394 -0.2394 + -0.2394 -0.2394 -0.2394 -0.2394 -0.2394 11.6426 6.5276 + -0.2394 -0.2394 -0.2394 -0.2394 -0.2394 2.7674 10.8773 + +MM = + + -0.2394 -0.2394 -0.2394 -0.2394 -0.2394 -0.2394 -0.2394 + -0.2394 -0.2394 -0.2394 -0.2394 -0.2394 -0.2394 15.7606 + -0.2394 -0.2394 -0.2394 -0.2394 -0.2394 -0.2394 -0.2394 + -0.2394 -0.2394 -0.2394 -0.2394 -0.2394 -0.2394 6.5276 + -0.2394 -0.2394 -0.2394 -0.2394 -0.2394 2.7674 10.8773 + +MM = + + -0.2394 -0.2394 -0.2394 -0.2394 -0.2394 -0.2394 -0.2394 + -0.2394 -0.2394 -0.2394 -0.2394 -0.2394 -0.2394 15.7606 + -0.2394 -0.2394 -0.2394 -0.2394 -0.2394 -0.2394 -0.2394 + -0.2394 -0.2394 -0.2394 -0.2394 -0.2394 -0.2394 -0.2394 + -0.2394 -0.2394 -0.2394 -0.2394 -0.2394 2.7674 10.8773 + +MM = + + -0.2394 -0.2394 -0.2394 -0.2394 -0.2394 -0.2394 -0.2394 + -0.2394 -0.2394 -0.2394 -0.2394 -0.2394 -0.2394 15.7606 + -0.2394 -0.2394 -0.2394 -0.2394 -0.2394 -0.2394 -0.2394 + -0.2394 -0.2394 -0.2394 -0.2394 -0.2394 -0.2394 -0.2394 + -0.2394 -0.2394 -0.2394 -0.2394 -0.2394 2.7674 10.8773 + +MM = + + -0.2394 -0.2394 -0.2394 -0.2394 -0.2394 -0.2394 -0.2394 + -0.2394 -0.2394 -0.2394 -0.2394 -0.2394 -0.2394 15.7606 + -0.2394 -0.2394 -0.2394 -0.2394 -0.2394 -0.2394 -0.2394 + -0.2394 -0.2394 -0.2394 -0.2394 -0.2394 -0.2394 -0.2394 + -0.2394 -0.2394 -0.2394 -0.2394 -0.2394 2.7674 10.8773 + +MM = + + -0.2394 -0.2394 -0.2394 -0.2394 -0.2394 -0.2394 -0.2394 + -0.2394 -0.2394 -0.2394 -0.2394 -0.2394 -0.2394 15.7606 + -0.2394 -0.2394 -0.2394 -0.2394 -0.2394 -0.2394 -0.2394 + -0.2394 -0.2394 -0.2394 -0.2394 -0.2394 -0.2394 -0.2394 + -0.2394 -0.2394 -0.2394 -0.2394 -0.2394 2.7674 10.8773 + +MM = + + -0.2394 -0.2394 -0.2394 -0.2394 -0.2394 -0.2394 -0.2394 + -0.2394 -0.2394 -0.2394 -0.2394 -0.2394 -0.2394 15.7606 + -0.2394 -0.2394 -0.2394 -0.2394 -0.2394 -0.2394 -0.2394 + -0.2394 -0.2394 -0.2394 -0.2394 -0.2394 -0.2394 -0.2394 + -0.2394 -0.2394 -0.2394 -0.2394 -0.2394 2.7674 10.8773 + +MM = + + -0.2394 -0.2394 -0.2394 -0.2394 -0.2394 -0.2394 -0.2394 + -0.2394 -0.2394 -0.2394 -0.2394 -0.2394 -0.2394 15.7606 + -0.2394 -0.2394 -0.2394 -0.2394 -0.2394 -0.2394 -0.2394 + -0.2394 -0.2394 -0.2394 -0.2394 -0.2394 -0.2394 -0.2394 + -0.2394 -0.2394 -0.2394 -0.2394 -0.2394 2.7674 10.8773 + +MM = + + -0.2394 -0.2394 -0.2394 -0.2394 -0.2394 -0.2394 -0.2394 + -0.2394 -0.2394 -0.2394 -0.2394 -0.2394 -0.2394 15.7606 + -0.2394 -0.2394 -0.2394 -0.2394 -0.2394 -0.2394 -0.2394 + -0.2394 -0.2394 -0.2394 -0.2394 -0.2394 -0.2394 -0.2394 + -0.2394 -0.2394 -0.2394 -0.2394 -0.2394 -0.2394 10.8773 + +MM = + + -0.2394 -0.2394 -0.2394 -0.2394 -0.2394 -0.2394 -0.2394 + -0.2394 -0.2394 -0.2394 -0.2394 -0.2394 -0.2394 15.7606 + -0.2394 -0.2394 -0.2394 -0.2394 -0.2394 -0.2394 -0.2394 + -0.2394 -0.2394 -0.2394 -0.2394 -0.2394 -0.2394 -0.2394 + -0.2394 -0.2394 -0.2394 -0.2394 -0.2394 -0.2394 -0.2394 + +``` + +## Задание 4 + +Превратите ММ в вектор – столбец ММС. Упорядочьте его элементы по возрастанию. Определите значение медианы, в качестве которого возьмите серединное по порядку индексов значение в упорядоченном векторе. + +## Решение + +```matlab +>> MMC=sort(Dstolb=MM(:)) +MMC = + + -0.2394 + -0.2394 + -0.2394 + -0.2394 + -0.2394 + -0.2394 + -0.2394 + -0.2394 + -0.2394 + -0.2394 + -0.2394 + -0.2394 + -0.2394 + -0.2394 + -0.2394 + -0.2394 + -0.2394 + -0.2394 + -0.2394 + -0.2394 + -0.2394 + -0.2394 + -0.2394 + -0.2394 + -0.2394 + -0.2394 + -0.2394 + -0.2394 + -0.2394 + -0.2394 + -0.2394 + -0.2394 + -0.2394 + -0.2394 + 15.7606 +>> MMC(18) +ans = -0.2394 +``` + +## Задание 5 + +Рассчитайте матрицу ММ1 с элементами, равными натуральным логарифмам от значений соответствующих элементов из матрицы ММ. + +## Решение + +```matlab +>> for i=1:5 +for j=1:7 +MM1(i,j)=log(MM(i,j)) +endfor +endfor +MM1 = + + Columns 1 through 4: + + -1.4296 + 3.1416i -0.3340 + 0i -0.0614 + 0i 2.0180 + 0i + -0.3926 + 0i 0.0732 + 0i -0.5432 + 0i 0.5582 + 0i + 1.4291 + 0i 1.0221 + 0i -0.4866 + 0i -0.0065 + 0i + -0.7778 + 0i 0.7262 + 0i -1.0978 + 0i 0.9153 + 0i + -0.4102 + 0i 0.2537 + 0i -1.5352 + 0i 1.7928 + 0i + + Columns 5 through 7: + + -1.1263 + 0i 0.2424 + 0i -1.8967 + 0i + 0.2851 + 0i 0.8428 + 0i -1.6985 + 0i + 0.9017 + 0i -0.6933 + 0i -1.2455 + 0i + 0.3016 + 0i 1.1371 + 0i -1.0383 + 0i + 0.9389 + 0i 0.3948 + 0i 0.3972 + 0i + +MM1 = + + Columns 1 through 4: + + -1.4296 + 3.1416i -1.4296 + 3.1416i -0.0614 + 0i 2.0180 + 0i + -0.3926 + 0i 0.0732 + 0i -0.5432 + 0i 0.5582 + 0i + 1.4291 + 0i 1.0221 + 0i -0.4866 + 0i -0.0065 + 0i + -0.7778 + 0i 0.7262 + 0i -1.0978 + 0i 0.9153 + 0i + -0.4102 + 0i 0.2537 + 0i -1.5352 + 0i 1.7928 + 0i + + Columns 5 through 7: + + -1.1263 + 0i 0.2424 + 0i -1.8967 + 0i + 0.2851 + 0i 0.8428 + 0i -1.6985 + 0i + 0.9017 + 0i -0.6933 + 0i -1.2455 + 0i + 0.3016 + 0i 1.1371 + 0i -1.0383 + 0i + 0.9389 + 0i 0.3948 + 0i 0.3972 + 0i + +MM1 = + + Columns 1 through 4: + + -1.4296 + 3.1416i -1.4296 + 3.1416i -1.4296 + 3.1416i 2.0180 + 0i + -0.3926 + 0i 0.0732 + 0i -0.5432 + 0i 0.5582 + 0i + 1.4291 + 0i 1.0221 + 0i -0.4866 + 0i -0.0065 + 0i + -0.7778 + 0i 0.7262 + 0i -1.0978 + 0i 0.9153 + 0i + -0.4102 + 0i 0.2537 + 0i -1.5352 + 0i 1.7928 + 0i + + Columns 5 through 7: + + -1.1263 + 0i 0.2424 + 0i -1.8967 + 0i + 0.2851 + 0i 0.8428 + 0i -1.6985 + 0i + 0.9017 + 0i -0.6933 + 0i -1.2455 + 0i + 0.3016 + 0i 1.1371 + 0i -1.0383 + 0i + 0.9389 + 0i 0.3948 + 0i 0.3972 + 0i + +MM1 = + + Columns 1 through 4: + + -1.4296 + 3.1416i -1.4296 + 3.1416i -1.4296 + 3.1416i -1.4296 + 3.1416i + -0.3926 + 0i 0.0732 + 0i -0.5432 + 0i 0.5582 + 0i + 1.4291 + 0i 1.0221 + 0i -0.4866 + 0i -0.0065 + 0i + -0.7778 + 0i 0.7262 + 0i -1.0978 + 0i 0.9153 + 0i + -0.4102 + 0i 0.2537 + 0i -1.5352 + 0i 1.7928 + 0i + + Columns 5 through 7: + + -1.1263 + 0i 0.2424 + 0i -1.8967 + 0i + 0.2851 + 0i 0.8428 + 0i -1.6985 + 0i + 0.9017 + 0i -0.6933 + 0i -1.2455 + 0i + 0.3016 + 0i 1.1371 + 0i -1.0383 + 0i + 0.9389 + 0i 0.3948 + 0i 0.3972 + 0i + +MM1 = + + Columns 1 through 4: + + -1.4296 + 3.1416i -1.4296 + 3.1416i -1.4296 + 3.1416i -1.4296 + 3.1416i + -0.3926 + 0i 0.0732 + 0i -0.5432 + 0i 0.5582 + 0i + 1.4291 + 0i 1.0221 + 0i -0.4866 + 0i -0.0065 + 0i + -0.7778 + 0i 0.7262 + 0i -1.0978 + 0i 0.9153 + 0i + -0.4102 + 0i 0.2537 + 0i -1.5352 + 0i 1.7928 + 0i + + Columns 5 through 7: + + -1.4296 + 3.1416i 0.2424 + 0i -1.8967 + 0i + 0.2851 + 0i 0.8428 + 0i -1.6985 + 0i + 0.9017 + 0i -0.6933 + 0i -1.2455 + 0i + 0.3016 + 0i 1.1371 + 0i -1.0383 + 0i + 0.9389 + 0i 0.3948 + 0i 0.3972 + 0i + +MM1 = + + Columns 1 through 4: + + -1.4296 + 3.1416i -1.4296 + 3.1416i -1.4296 + 3.1416i -1.4296 + 3.1416i + -0.3926 + 0i 0.0732 + 0i -0.5432 + 0i 0.5582 + 0i + 1.4291 + 0i 1.0221 + 0i -0.4866 + 0i -0.0065 + 0i + -0.7778 + 0i 0.7262 + 0i -1.0978 + 0i 0.9153 + 0i + -0.4102 + 0i 0.2537 + 0i -1.5352 + 0i 1.7928 + 0i + + Columns 5 through 7: + + -1.4296 + 3.1416i -1.4296 + 3.1416i -1.8967 + 0i + 0.2851 + 0i 0.8428 + 0i -1.6985 + 0i + 0.9017 + 0i -0.6933 + 0i -1.2455 + 0i + 0.3016 + 0i 1.1371 + 0i -1.0383 + 0i + 0.9389 + 0i 0.3948 + 0i 0.3972 + 0i + +MM1 = + + Columns 1 through 4: + + -1.4296 + 3.1416i -1.4296 + 3.1416i -1.4296 + 3.1416i -1.4296 + 3.1416i + -0.3926 + 0i 0.0732 + 0i -0.5432 + 0i 0.5582 + 0i + 1.4291 + 0i 1.0221 + 0i -0.4866 + 0i -0.0065 + 0i + -0.7778 + 0i 0.7262 + 0i -1.0978 + 0i 0.9153 + 0i + -0.4102 + 0i 0.2537 + 0i -1.5352 + 0i 1.7928 + 0i + + Columns 5 through 7: + + -1.4296 + 3.1416i -1.4296 + 3.1416i -1.4296 + 3.1416i + 0.2851 + 0i 0.8428 + 0i -1.6985 + 0i + 0.9017 + 0i -0.6933 + 0i -1.2455 + 0i + 0.3016 + 0i 1.1371 + 0i -1.0383 + 0i + 0.9389 + 0i 0.3948 + 0i 0.3972 + 0i + +MM1 = + + Columns 1 through 4: + + -1.4296 + 3.1416i -1.4296 + 3.1416i -1.4296 + 3.1416i -1.4296 + 3.1416i + -1.4296 + 3.1416i 0.0732 + 0i -0.5432 + 0i 0.5582 + 0i + 1.4291 + 0i 1.0221 + 0i -0.4866 + 0i -0.0065 + 0i + -0.7778 + 0i 0.7262 + 0i -1.0978 + 0i 0.9153 + 0i + -0.4102 + 0i 0.2537 + 0i -1.5352 + 0i 1.7928 + 0i + + Columns 5 through 7: + + -1.4296 + 3.1416i -1.4296 + 3.1416i -1.4296 + 3.1416i + 0.2851 + 0i 0.8428 + 0i -1.6985 + 0i + 0.9017 + 0i -0.6933 + 0i -1.2455 + 0i + 0.3016 + 0i 1.1371 + 0i -1.0383 + 0i + 0.9389 + 0i 0.3948 + 0i 0.3972 + 0i + +MM1 = + + Columns 1 through 4: + + -1.4296 + 3.1416i -1.4296 + 3.1416i -1.4296 + 3.1416i -1.4296 + 3.1416i + -1.4296 + 3.1416i -1.4296 + 3.1416i -0.5432 + 0i 0.5582 + 0i + 1.4291 + 0i 1.0221 + 0i -0.4866 + 0i -0.0065 + 0i + -0.7778 + 0i 0.7262 + 0i -1.0978 + 0i 0.9153 + 0i + -0.4102 + 0i 0.2537 + 0i -1.5352 + 0i 1.7928 + 0i + + Columns 5 through 7: + + -1.4296 + 3.1416i -1.4296 + 3.1416i -1.4296 + 3.1416i + 0.2851 + 0i 0.8428 + 0i -1.6985 + 0i + 0.9017 + 0i -0.6933 + 0i -1.2455 + 0i + 0.3016 + 0i 1.1371 + 0i -1.0383 + 0i + 0.9389 + 0i 0.3948 + 0i 0.3972 + 0i + +MM1 = + + Columns 1 through 4: + + -1.4296 + 3.1416i -1.4296 + 3.1416i -1.4296 + 3.1416i -1.4296 + 3.1416i + -1.4296 + 3.1416i -1.4296 + 3.1416i -1.4296 + 3.1416i 0.5582 + 0i + 1.4291 + 0i 1.0221 + 0i -0.4866 + 0i -0.0065 + 0i + -0.7778 + 0i 0.7262 + 0i -1.0978 + 0i 0.9153 + 0i + -0.4102 + 0i 0.2537 + 0i -1.5352 + 0i 1.7928 + 0i + + Columns 5 through 7: + + -1.4296 + 3.1416i -1.4296 + 3.1416i -1.4296 + 3.1416i + 0.2851 + 0i 0.8428 + 0i -1.6985 + 0i + 0.9017 + 0i -0.6933 + 0i -1.2455 + 0i + 0.3016 + 0i 1.1371 + 0i -1.0383 + 0i + 0.9389 + 0i 0.3948 + 0i 0.3972 + 0i + +MM1 = + + Columns 1 through 4: + + -1.4296 + 3.1416i -1.4296 + 3.1416i -1.4296 + 3.1416i -1.4296 + 3.1416i + -1.4296 + 3.1416i -1.4296 + 3.1416i -1.4296 + 3.1416i -1.4296 + 3.1416i + 1.4291 + 0i 1.0221 + 0i -0.4866 + 0i -0.0065 + 0i + -0.7778 + 0i 0.7262 + 0i -1.0978 + 0i 0.9153 + 0i + -0.4102 + 0i 0.2537 + 0i -1.5352 + 0i 1.7928 + 0i + + Columns 5 through 7: + + -1.4296 + 3.1416i -1.4296 + 3.1416i -1.4296 + 3.1416i + 0.2851 + 0i 0.8428 + 0i -1.6985 + 0i + 0.9017 + 0i -0.6933 + 0i -1.2455 + 0i + 0.3016 + 0i 1.1371 + 0i -1.0383 + 0i + 0.9389 + 0i 0.3948 + 0i 0.3972 + 0i + +MM1 = + + Columns 1 through 4: + + -1.4296 + 3.1416i -1.4296 + 3.1416i -1.4296 + 3.1416i -1.4296 + 3.1416i + -1.4296 + 3.1416i -1.4296 + 3.1416i -1.4296 + 3.1416i -1.4296 + 3.1416i + 1.4291 + 0i 1.0221 + 0i -0.4866 + 0i -0.0065 + 0i + -0.7778 + 0i 0.7262 + 0i -1.0978 + 0i 0.9153 + 0i + -0.4102 + 0i 0.2537 + 0i -1.5352 + 0i 1.7928 + 0i + + Columns 5 through 7: + + -1.4296 + 3.1416i -1.4296 + 3.1416i -1.4296 + 3.1416i + -1.4296 + 3.1416i 0.8428 + 0i -1.6985 + 0i + 0.9017 + 0i -0.6933 + 0i -1.2455 + 0i + 0.3016 + 0i 1.1371 + 0i -1.0383 + 0i + 0.9389 + 0i 0.3948 + 0i 0.3972 + 0i + +MM1 = + + Columns 1 through 4: + + -1.4296 + 3.1416i -1.4296 + 3.1416i -1.4296 + 3.1416i -1.4296 + 3.1416i + -1.4296 + 3.1416i -1.4296 + 3.1416i -1.4296 + 3.1416i -1.4296 + 3.1416i + 1.4291 + 0i 1.0221 + 0i -0.4866 + 0i -0.0065 + 0i + -0.7778 + 0i 0.7262 + 0i -1.0978 + 0i 0.9153 + 0i + -0.4102 + 0i 0.2537 + 0i -1.5352 + 0i 1.7928 + 0i + + Columns 5 through 7: + + -1.4296 + 3.1416i -1.4296 + 3.1416i -1.4296 + 3.1416i + -1.4296 + 3.1416i -1.4296 + 3.1416i -1.6985 + 0i + 0.9017 + 0i -0.6933 + 0i -1.2455 + 0i + 0.3016 + 0i 1.1371 + 0i -1.0383 + 0i + 0.9389 + 0i 0.3948 + 0i 0.3972 + 0i + +MM1 = + + Columns 1 through 4: + + -1.4296 + 3.1416i -1.4296 + 3.1416i -1.4296 + 3.1416i -1.4296 + 3.1416i + -1.4296 + 3.1416i -1.4296 + 3.1416i -1.4296 + 3.1416i -1.4296 + 3.1416i + 1.4291 + 0i 1.0221 + 0i -0.4866 + 0i -0.0065 + 0i + -0.7778 + 0i 0.7262 + 0i -1.0978 + 0i 0.9153 + 0i + -0.4102 + 0i 0.2537 + 0i -1.5352 + 0i 1.7928 + 0i + + Columns 5 through 7: + + -1.4296 + 3.1416i -1.4296 + 3.1416i -1.4296 + 3.1416i + -1.4296 + 3.1416i -1.4296 + 3.1416i 2.7575 + 0i + 0.9017 + 0i -0.6933 + 0i -1.2455 + 0i + 0.3016 + 0i 1.1371 + 0i -1.0383 + 0i + 0.9389 + 0i 0.3948 + 0i 0.3972 + 0i + +MM1 = + + Columns 1 through 4: + + -1.4296 + 3.1416i -1.4296 + 3.1416i -1.4296 + 3.1416i -1.4296 + 3.1416i + -1.4296 + 3.1416i -1.4296 + 3.1416i -1.4296 + 3.1416i -1.4296 + 3.1416i + -1.4296 + 3.1416i 1.0221 + 0i -0.4866 + 0i -0.0065 + 0i + -0.7778 + 0i 0.7262 + 0i -1.0978 + 0i 0.9153 + 0i + -0.4102 + 0i 0.2537 + 0i -1.5352 + 0i 1.7928 + 0i + + Columns 5 through 7: + + -1.4296 + 3.1416i -1.4296 + 3.1416i -1.4296 + 3.1416i + -1.4296 + 3.1416i -1.4296 + 3.1416i 2.7575 + 0i + 0.9017 + 0i -0.6933 + 0i -1.2455 + 0i + 0.3016 + 0i 1.1371 + 0i -1.0383 + 0i + 0.9389 + 0i 0.3948 + 0i 0.3972 + 0i + +MM1 = + + Columns 1 through 4: + + -1.4296 + 3.1416i -1.4296 + 3.1416i -1.4296 + 3.1416i -1.4296 + 3.1416i + -1.4296 + 3.1416i -1.4296 + 3.1416i -1.4296 + 3.1416i -1.4296 + 3.1416i + -1.4296 + 3.1416i -1.4296 + 3.1416i -0.4866 + 0i -0.0065 + 0i + -0.7778 + 0i 0.7262 + 0i -1.0978 + 0i 0.9153 + 0i + -0.4102 + 0i 0.2537 + 0i -1.5352 + 0i 1.7928 + 0i + + Columns 5 through 7: + + -1.4296 + 3.1416i -1.4296 + 3.1416i -1.4296 + 3.1416i + -1.4296 + 3.1416i -1.4296 + 3.1416i 2.7575 + 0i + 0.9017 + 0i -0.6933 + 0i -1.2455 + 0i + 0.3016 + 0i 1.1371 + 0i -1.0383 + 0i + 0.9389 + 0i 0.3948 + 0i 0.3972 + 0i + +MM1 = + + Columns 1 through 4: + + -1.4296 + 3.1416i -1.4296 + 3.1416i -1.4296 + 3.1416i -1.4296 + 3.1416i + -1.4296 + 3.1416i -1.4296 + 3.1416i -1.4296 + 3.1416i -1.4296 + 3.1416i + -1.4296 + 3.1416i -1.4296 + 3.1416i -1.4296 + 3.1416i -0.0065 + 0i + -0.7778 + 0i 0.7262 + 0i -1.0978 + 0i 0.9153 + 0i + -0.4102 + 0i 0.2537 + 0i -1.5352 + 0i 1.7928 + 0i + + Columns 5 through 7: + + -1.4296 + 3.1416i -1.4296 + 3.1416i -1.4296 + 3.1416i + -1.4296 + 3.1416i -1.4296 + 3.1416i 2.7575 + 0i + 0.9017 + 0i -0.6933 + 0i -1.2455 + 0i + 0.3016 + 0i 1.1371 + 0i -1.0383 + 0i + 0.9389 + 0i 0.3948 + 0i 0.3972 + 0i + +MM1 = + + Columns 1 through 4: + + -1.4296 + 3.1416i -1.4296 + 3.1416i -1.4296 + 3.1416i -1.4296 + 3.1416i + -1.4296 + 3.1416i -1.4296 + 3.1416i -1.4296 + 3.1416i -1.4296 + 3.1416i + -1.4296 + 3.1416i -1.4296 + 3.1416i -1.4296 + 3.1416i -1.4296 + 3.1416i + -0.7778 + 0i 0.7262 + 0i -1.0978 + 0i 0.9153 + 0i + -0.4102 + 0i 0.2537 + 0i -1.5352 + 0i 1.7928 + 0i + + Columns 5 through 7: + + -1.4296 + 3.1416i -1.4296 + 3.1416i -1.4296 + 3.1416i + -1.4296 + 3.1416i -1.4296 + 3.1416i 2.7575 + 0i + 0.9017 + 0i -0.6933 + 0i -1.2455 + 0i + 0.3016 + 0i 1.1371 + 0i -1.0383 + 0i + 0.9389 + 0i 0.3948 + 0i 0.3972 + 0i + +MM1 = + + Columns 1 through 4: + + -1.4296 + 3.1416i -1.4296 + 3.1416i -1.4296 + 3.1416i -1.4296 + 3.1416i + -1.4296 + 3.1416i -1.4296 + 3.1416i -1.4296 + 3.1416i -1.4296 + 3.1416i + -1.4296 + 3.1416i -1.4296 + 3.1416i -1.4296 + 3.1416i -1.4296 + 3.1416i + -0.7778 + 0i 0.7262 + 0i -1.0978 + 0i 0.9153 + 0i + -0.4102 + 0i 0.2537 + 0i -1.5352 + 0i 1.7928 + 0i + + Columns 5 through 7: + + -1.4296 + 3.1416i -1.4296 + 3.1416i -1.4296 + 3.1416i + -1.4296 + 3.1416i -1.4296 + 3.1416i 2.7575 + 0i + -1.4296 + 3.1416i -0.6933 + 0i -1.2455 + 0i + 0.3016 + 0i 1.1371 + 0i -1.0383 + 0i + 0.9389 + 0i 0.3948 + 0i 0.3972 + 0i + +MM1 = + + Columns 1 through 4: + + -1.4296 + 3.1416i -1.4296 + 3.1416i -1.4296 + 3.1416i -1.4296 + 3.1416i + -1.4296 + 3.1416i -1.4296 + 3.1416i -1.4296 + 3.1416i -1.4296 + 3.1416i + -1.4296 + 3.1416i -1.4296 + 3.1416i -1.4296 + 3.1416i -1.4296 + 3.1416i + -0.7778 + 0i 0.7262 + 0i -1.0978 + 0i 0.9153 + 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