Transpose Of A Matrix

To find the sum of the elements of the matrix , we first need to calculate , the transpose of matrix . Given the matrix , its transpose is .

Next, compute the product :

Perform the multiplication:

Simplify each element:

The sum of the elements in is calculated as follows:

Therefore, the sum of the elements of the matrix is 146.

The problem states that the transpose of matrix A is matrix B, where:

and

Since B is the transpose of A, we have:

Finding the unknowns:

Now, calculate :

Thus, the value of is: 15