class 12 maths matrices

If possible, find the sum of the matrices A and B, where $A = \left[ {\begin{array}{cccccccccccccccccccc}{\sqrt 3 }&1\\2&3\end{array}} \right]$ and $B = \left[ {\begin{array}{llllllllllllllllllll}x&y&z\\a&b&c\end{array}} \right]$.

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📘 Matrices NCERT,Exemp,Q.no.6,Page 53 SA

If possible, find the sum of the matrices A and B, where $A = \left[ {\begin{array}{cccccccccccccccccccc}{\sqrt 3 }&1\\2&3\end{array}} \right]$ and $B = \left[ {\begin{array}{llllllllllllllllllll}x&y&z\\a&b&c\end{array}} \right]$.

Official Solution

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We have, $A = {\left[ {\begin{array}{cccccccccccccccccccc}{\sqrt 3 }&1\\2&3\end{array}} \right]_{2 \times 2}}$ and $B = {\left[ {\begin{array}{llllllllllllllllllll}x&y&z\\a&b&6\end{array}} \right]_{2 \times 3}}$

Here, A and B are of different orders. As we know, the addition of two matrices A and B is possible only if order of both the matrices A and B should be same.

Hence, the sum of matrices A and B is not possible.

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