Question

Помогите пожалуйста решить матрицу

Answer 1

Ответ:

Пошаговое объяснение:

сначала умножение

$\left[\begin{array}{ccc}4&-9\\7&2\\3&1\end{array}\right] *\left[\begin{array}{ccc}-3&2\\ 4&-2\\\end{array}\right] =$$\left[\begin{array}{ccc}-48&26\\-13&10\\-5&4\end{array}\right]$

$c_{11} = a_{11} * b_{11} + a_{12} *b_{21} = 4*(-3) + (-9)*4 = (-12) - 36 = -48\\c_{12} = a_{11} *b_{12} + a_{12}* b{22} = 4*2 + (-9)*(-2) = 8 + 18 = 26\\c_{21} = a_{21}* b_{11} + a_{22}*b_{21} = 7*(-3) + 2*4 = (-21) + 8 = -13\\c_{22} = a_{21}*b_{12} + a_{22}*b_{22} = 7 *2 + 2 *(-2) = 14 - 4 = 10\\c_{31} = a_{31} * b_{11} + a_{32}*b_{21} = 3 *(-3) + 1*4 = (-9) + 4 = -5\\c_{32} = a+{31} * b_{12} + a_{32} *b_{22} = 3 *2 + 1 * (-2) = 6 - 2 = 4$

теперь сложение

$\left[\begin{array}{ccc}-48&26\\-13&10\\-5&4\end{array}\right]$$+\left[\begin{array}{ccc}2&3\\5&-6\\10&2\end{array}\right] =$$\left[\begin{array}{ccc}-48+2&26+3\\13+5&10-6\\-5+10&4+2\end{array}\right] =$$\left[\begin{array}{ccc}-46&29\\18&4\\5&6\end{array}\right]$