Q32 of 146 Page 52

Let and a = 4, b = –2.
Show that:

(A – B)^T = A^T – B^T

To Prove: (A – B)^T = A^T - B^T

LHS = (A – B)^T =

RHS = A^T – B^T =

∴ RHS =

Clearly, LHS = RHS =

Hence (A-B)^T = A^T – B^T …proved

Let and a = 4, b = –2.

Show that:

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

Let and a = 4, b = –2.

Show that:

(A – B)C = AC – BC

If then show that

If and x² = –1, then show that (A + B)² = A² + B².

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