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Addition and Subtraction of a Matrix

If A and ...

Question

If $A$ and $B$ are square matrices of same order, then which of the following is correct?

A

A + B = B + A

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B

A + B = A B

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C

A B = B A

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D

A B = B + A

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Solution

The correct option is A $A + B = B + A$
If $A$ and $B$ are square matrix of same order then $A + B = B + A$ . This is Commutative law of addition. This is true for any matrix, only order must be same.

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