Q32 of 146 Page 52

Let and a = 4, b = –2.
Show that:

(A^T)^T = A

To prove: (A^T)^T = A

As transpose of a matrix is obtained by interchanging rows with respective columns.

LHS = (A^T)^T = = RHS

Hence, proved.

Let and a = 4, b = –2.

Show that:

(a + b)B = aB + bB

Let and a = 4, b = –2.

Show that:

a(C – A) = aC –aA

Let and a = 4, b = –2.

Show that:

(bA)^T = bA^T

Let and a = 4, b = –2.

Show that:

(AB)^T = B^T A^T

Let and a = 4, b = –2.Show that:(AT)T = A