Q10 of 54 Page 124

If , then verify that (a^T)^T= A.

For the transpose of a matrix, we know that,

A^T_ij = A_ji, therefore the transpose of matrix A is:-

Now, applying transpose on A^T , we get,

∴ We see that (A^T)^T = A

If A = , (i) find the order of the matrix

(ii) write down the elements A₂₄ and a₃₂

(iii) in which row and column does the element 7 occur?

If , then find the transpose of A.

Find the values of x, y and z from the matrix equation

Solve for x and y if

If , then verify that (aT)T= A.