Answer: The correct option is A
Explanation:
The transpose of a matrix is the matrix formed by interchanging the rows with the columns. It means that the transpose of matrix A would be
5 3
2 - 1
By multiplying, we would multiply the terms in each row by the corresponding terms in the columns and add.
The product of matrix A and its transpose would be
5 2 × 5 3
3 - 1 2 - 1
It becomes
25 + 4 15 + (- 2)
15 - 2 9 + 1
The final answer is
29 13
13 10