Question

Решить матричное уравнение

Answer 1

$X=left[begin{array}{cc}1&2\-1&-2end{array}right]*left[begin{array}{cc}3&1\2&4end{array}right]^{-1} =\\=left[begin{array}{cc}1&2\-1&-2end{array}right]*frac{1}{3*4-1*2}left[begin{array}{cc}4&-1\-2&3end{array}right]=\\=frac{1}{10}*left[begin{array}{cc}0&5\0&-5end{array}right]=left[begin{array}{cc}0&0.5\0&-0.5end{array}right]$