Question

Matrix equations help!!

Answer 1

`\begin{bmatrix} -18&-9\\-25&4 \end{bmatrix}= \begin{bmatrix} -2&-2\\-4&-1 \end{bmatrix}X+ \begin{bmatrix} -8&1\\-2&0 \end{bmatrix} \\\\[-0.35em] ~\dotfill\\\\ \begin{array}{llll} (-18)(4)-(-25)(-9)\implies -297 \\\\\\ (-2)(-1)-(-4)(-2)\implies -6 \\\\\\ (-8)(0)-(-2)(1)\qquad \implies 2 \end{array} \qquad \begin{array}{llll} \textit{Determinant for each}\\ matrix \end{array} \\\\[-0.35em] ~\dotfill\\\\ -297=-6x+2\implies -299=-6X\implies \cfrac{-299}{-6}=X \\\\\\ \cfrac{299}{6}=X\implies 49(5)/(6)=X`