Question

If A is a matrix of order $2\times 3$ and B is a matrix of order $3\times 5$, then what is the order of matrix $(AB{)}^T$

Answer 1

Given, A is a matrix of order $2\times 3$ and B is a matrix of order $3\times 5$, therefore the product AB is a matrix of order $2\times 5$.

Then, the order of matrix $(AB{)}^T$ is $5\times 2$.