If A and B are two matrices of same order, then A + B is equal to… - Vidyadip

MCQ

If $A$ and $B$ are two matrices of same order, then $A + B$ is equal to :

✓
$B + A$
B
$BA$
C
$(A + B)^T$
D
$A - B$

✓

Answer

Correct option: A.

$B + A$

Yes, matrices are commutative.
We can see it as follows, Let element of $A$ matrix be denoted by $\text{a}_\text{ij}$ and $B$ matrix be denoted by $\text{b}_\text{ij},$
Then corresponding elements of $\text{ A + B}$ matrix will be $(\text{a}_\text{ij} +\text{b}_\text{ij}) $ and corresponding
elements of $\text{B + A}$ matrix will be $(\text{b}_\text{ij} +\text{ a}_\text{ij}) $ But since addition is commutative, corresponding elements
of$\text{ A + B}$ and $\text{B + A}$ matrices are the same, So they are equal.

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