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Find two matrices A and B such that 2A-3B= [5 0
-1 2]

(5 & 0 are on top; -1 & 2 are on the bottom— it’s a 2x2 matrix)

Find two matrices A and B such that 2A-3B= [5 0 -1 2] (5 & 0 are on top; -1 & 2 are on the bottom— it’s a 2x2 matrix) class=

Answer :

LammettHash

The easy answer: If, say, B is the zero matrix, i.e.

[tex]B=\begin{bmatrix}0&0\\0&0\end{bmatrix}[/tex]

then

[tex]2A=\begin{bmatrix}5&0\\-1&2\end{bmatrix}\implies A=\begin{bmatrix}\dfrac52&0\\\\-\dfrac12&1\end{bmatrix}[/tex]

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