Question

If the order of $A$ is $4\times 3$, the order of $B$ is $4\times 5$ and the order of $C,7\times 3$ then the order of $(A^T{B}^T{)}^T{C}^T$ is

• A. $4\times 5$
• B. $3\times 7$
• C. $4\times 3$
• D. $5\times 7$

Answer 1

The correct option is A $4\times 5$

Order of $A=4\times 3$

$\therefore$ Order of $A^T=3\times 4$

Order of $B=4\times 5$

$\therefore$ Order of $B^T=5\times 4$

Order of $C=7\times 3$

$\therefore$Order of $C^T=3\times 7$

Order of $\left(A^T{B}^T\right)=4\times 5$