If , then verify that A A = I Matrix A is a 2x2 matrix with elements [[sin alpha, cos alpha], [-cos alpha, sin alpha]].

Q6 of 108 Page 88

If, then verify that A’ A = I

And we know ‘I’ represents an identity matrix

From equation 1 & 2 we can say that

AA’ = I

AA’ = I. Hence verified.

For the matrices A and B, verify that (AB)’ = B’A’, where

If , then verify that A’ A = I

Show that the matrix is a symmetric matrix.

Show that the matrix is a skew symmetric matrix.