If $A a n d B$ are square matrices of equal degree, then which one is correct among the following?

$A + B = B + A$

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$A + B = A - B$

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$A - B = B - A$

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$A B = B A$

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Solution

The correct option is A
$A + B = B + A$

Explanation for the correct option:
If $A a n d B$ are square matrices of the same order then
$A + B = B + A$
This is the Commutative law of addition.
This is true for any matrix, only the order must be the same.
Hence, the correct answer is option A

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