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Home  >>  CBSE XII  >>  Math  >>  Matrices
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If $X=\begin{bmatrix}3 & 1 & 1\\5 & 2 & 3\end{bmatrix}$ and $Y=\begin{bmatrix}2 & 1 & 1\\7 & 2 & 4\end{bmatrix}$, find $X + Y$

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  • The sum / difference $A(+/-)B$ of two $m$-by-$n$ matrices $A$ and $B$ is calculated entrywise: $(A (+/-) B)_{i,j} = A_{i,j} +/- B_{i,j}$ where 1 ≤ i ≤ m and 1 ≤ j ≤ n.
(i) $X+Y=\begin{bmatrix}3 & 1 & 1\\5 & 2 & 3\end{bmatrix}+\begin{bmatrix}2 & 1 & 1\\7 & 2 & 4\end{bmatrix}$
$\;\;\;\quad=\begin{bmatrix}3+2 & 1 +1& 1+1\\5+7 & 2+2 & 3+4\end{bmatrix}$
$\;\;\;\quad=\begin{bmatrix}5 & 2& 2\\12 & 4 & 7\end{bmatrix}$
answered Mar 19, 2013 by sharmaaparna1
 

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