If A and B are two matrices of order 3 × m and 3 × n respectively

Question:

If $A$ and $B$ are two matrices of order $3 \times m$ and $3 \times n$ respectively and $m=n$, then the order of $5 A-2 B$ is

(a) $m \times 3$

(b) $3 \times 3$

(c) $m \times n$

(d) $3 \times n$

Solution:

Since, the order of both $A$ and $B$ are same.

i.e., $3 \times m$ or $3 \times n$.

Therefore, the order of $5 A-2 B$ is also $3 \times m$ or $3 \times n$.

Hence, the correct option is (d).

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