Question

please solve the following problem of matrices​

Answer 1

Answer:

x = [ -7 5]

[ 6 2] this is the answer of this question

Answer 2

$\large\underline\purple{\bold{Solution :- }}$

$\tt \:  ⟼A = \begin{bmatrix} 2 & - 1\\ 2 & 0\end{bmatrix}$

$\tt \:  ⟼B = \begin{bmatrix} - 3 & 2\\ 4 & 0\end{bmatrix}$

$\tt \:  ⟼C = \begin{bmatrix} 1 & 0\\ 0& 2\end{bmatrix}$

$\tt \:  ⟼A + X = 2B + C$

$\tt \:  ⟼A + X + ( - A) = 2B + C + ( - A)$

$\tt\implies \: \: X = 2B + C - A$

$\tt \:  ⟼X = 2\begin{bmatrix} - 3 & 2\\ 4 & 0\end{bmatrix} +\begin{bmatrix} 1 & 0\\ 0& 2\end{bmatrix} - \begin{bmatrix} 2 & - 1\\ 2 & 0\end{bmatrix}$

$\tt \:  ⟼X = \begin{bmatrix} - 6 & 4\\ 8 & 0\end{bmatrix} + \begin{bmatrix} 1 & 0\\ 0& 2\end{bmatrix} - \begin{bmatrix} 2 & - 1\\ 2 & 0\end{bmatrix}$

$\tt \:  ⟼X = \begin{bmatrix} - 6 + 1 - 2 & 4 + 0 + 1\\8 + 0 - 2&0 + 2 - 0\end{bmatrix}$

$\tt\implies \:X = \begin{bmatrix} - 7 & 5\\ 6& 2\end{bmatrix}$

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