If ![\begin{bmatrix} 1 & 3 \\ 0 & 0 \end{bmatrix}\left[ \begin{matrix} 2 \\ -1 \end{matrix} \right] =\left[ \begin{matrix} x \\ 0 \end{matrix} \right]](https://s0.wp.com/latex.php?latex=%5Cbegin%7Bbmatrix%7D+1+%26+3+%5C%5C+0+%26+0+%5Cend%7Bbmatrix%7D%5Cleft%5B+%5Cbegin%7Bmatrix%7D+2+%5C%5C+-1+%5Cend%7Bmatrix%7D+%5Cright%5D+%3D%5Cleft%5B+%5Cbegin%7Bmatrix%7D+x+%5C%5C+0+%5Cend%7Bmatrix%7D+%5Cright%5D+&bg=ffffff&fg=000&s=2&c=20201002)
Find the value of x
Solution:
(i) Find x and y if ![\begin{bmatrix} -3 & 2 \\ 0 & -5 \end{bmatrix}\left[ \begin{matrix} x \\ 2 \end{matrix} \right] =\left[ \begin{matrix} -5 \\ y \end{matrix} \right]](https://s0.wp.com/latex.php?latex=%5Cbegin%7Bbmatrix%7D+-3+%26+2+%5C%5C+0+%26+-5+%5Cend%7Bbmatrix%7D%5Cleft%5B+%5Cbegin%7Bmatrix%7D+x+%5C%5C+2+%5Cend%7Bmatrix%7D+%5Cright%5D+%3D%5Cleft%5B+%5Cbegin%7Bmatrix%7D+-5+%5C%5C+y+%5Cend%7Bmatrix%7D+%5Cright%5D+&bg=ffffff&fg=000&s=2&c=20201002)
(ii) Find x and y if ![\begin{bmatrix} 2x & x \\ y & 3y \end{bmatrix}\left[ \begin{matrix} 3 \\ 2 \end{matrix} \right] =\left[ \begin{matrix} 16 \\ 9 \end{matrix} \right]](https://s0.wp.com/latex.php?latex=%5Cbegin%7Bbmatrix%7D+2x+%26+x+%5C%5C+y+%26+3y+%5Cend%7Bbmatrix%7D%5Cleft%5B+%5Cbegin%7Bmatrix%7D+3+%5C%5C+2+%5Cend%7Bmatrix%7D+%5Cright%5D+%3D%5Cleft%5B+%5Cbegin%7Bmatrix%7D+16+%5C%5C+9+%5Cend%7Bmatrix%7D+%5Cright%5D+&bg=ffffff&fg=000&s=2&c=20201002)
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Find the value of xSolution:
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