As A = ∴ A2 = By matrix multiplication:A2 = ⇒ A2 = As we know that:2 sin θ cos θ = sin 2θ and cos2 θ – sin2 θ = cos 2θ∴ A2 = …Hence proved

Q33 of 146 Page 52

If then show that

As A =

∴ A² =

By matrix multiplication:

A² =

⇒ A² =

As we know that:

2 sin θ cos θ = sin 2θ and cos² θ – sin² θ = cos 2θ

∴ A² = …Hence proved

Let and a = 4, b = –2.

Show that:

(A – B)C = AC – BC

Let and a = 4, b = –2.

Show that:

(A – B)^T = A^T – B^T

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

Verify that A² = I when