Question

Help me with this problem please

Answer 1

Hi,

Explanation:

`U=\begin{bmatrix}1 & 4 \\2 & 0 \end{bmatrix}\\\\V=\begin{bmatrix}-1 & 2 \\1 & 0 \end{bmatrix}\\\\\\\left\{\begin{array}{ccc}2A+B&=&U\\A-B&=&V\\\end{array} \right.\\\\\\\left\{\begin{array}{ccc}A&=&U+V\\B&=&U\\\end{array} \right.\\\\\\\left\{\begin{array}{ccc}B=\begin{bmatrix}1 & 4 \\2 & 0 \end{bmatrix}\\\\A=\begin{bmatrix}1 & 4 \\2 & 0 \end{bmatrix}+\begin{bmatrix}-1 & 2 \\1 & 0 \end{bmatrix}\\\end{array} \right.\\`

`\\\\\left\{\begin{array}{ccc}B=\begin{bmatrix}1 & 4 \\2 & 0 \end{bmatrix}\\\\A=\begin{bmatrix}0 & 6 \\3 & 0 \end{bmatrix}\\\end{array} \right.\\`