For matrices X and Y,if X+Y = begin{bmatrix} | vedclass

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(A) Given the system of equations for matrices $X$ and $Y$: $(1)$ $X + Y = \begin{bmatrix} 7 & 0 \ 2 & 5 \end{bmatrix}$ $(2)$ $X - Y = \begin{bmatrix

Vedclass · Accepted Answer

$\begin{bmatrix} 10 & 0 \ 2 & 8 \end{bmatrix}$

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(A) Given the system of equations for matrices $X$ and $Y$: $(1)$ $X + Y = \begin{bmatrix} 7 & 0 \ 2 & 5 \end{bmatrix}$ $(2)$ $X - Y = \begin{bmatrix} 3 & 0 \ 0 & 3 \end{bmatrix}$ To find $2X$,we add equation $(1)$ and equation $(2)$: $(X + Y) + (X - Y) = \begin{bmatrix} 7 & 0 \ 2 & 5 \end{bmatrix} + \begin{bmatrix} 3 & 0 \ 0 & 3 \end{bmatrix}$ $2X = \begin{bmatrix} 7+3 & 0+0 \ 2+0 & 5+3 \end{bmatrix}$ $2X = \begin{bmatrix} 10 & 0 \ 2 & 8 \end{bmatrix}$ Thus,the correct option is $A$.

For matrices $X$ and $Y$,if $X+Y = \begin{bmatrix} 7 & 0 \\ 2 & 5 \end{bmatrix}$ and $X-Y = \begin{bmatrix} 3 & 0 \\ 0 & 3 \end{bmatrix}$,then $2X =$ . . . . . .

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