Given A = [ rrr 3 & 1 & -1 2 & 3 & 0 ] and B = [ ccc 2 & 5 & 1 -2… - Vidyadip

Question

Given A = $\left[\begin{array}{rrr} {\sqrt{3}} & {1} & {-1} \\ {2} & {3} & {0} \end{array}\right]$ and B = $\left[\begin{array}{ccc} {2} & {\sqrt{5}} & {1} \\ {-2} & {3} & {\frac{1}{2}} \end{array}\right]$ find A + B

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Answer

Since A, B are of the same order 2 $\times$ 3. Therefore, the addition of A and B is defined and is given by
A + B = $\left[\begin{array}{ccc} {2+\sqrt{3}} & {1+\sqrt{5}} & {1-1} \\ {2-2} & {3+3} & {0+\frac{1}{2}} \end{array}\right]=\left[\begin{array}{ccc} {2+\sqrt{3}} & {1+\sqrt{5}} & {0} \\ {0} & {6} & {\frac{1}{2}} \end{array}\right]$

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