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Find: (i) A + B and B + C (ii) 2B + 3A and 3C – 4B

Solution:

(i) Consider \[A\text{ }+\text{ }B,\]

A + B is not possible because matrix A is an order of \[2\text{ }x\text{ }2\] and Matrix B is an order of \[2\text{ }x\text{ }3\] so the Sum of the matrix is only possible when their order is same.

Now consider \[B\text{ }+\text{ }C\]

(ii) Consider \[2B\text{ }+\text{ }3A\]

\[2B\text{ }+\text{ }3A\] also does not exist because the order of matrix B and matrix A is different, so we cannot find the sum of these matrix.

Now consider \[3C\text{ }\text{ }4B,\]