Given:To find: A4A4 = A × A × A × A⇒ A4 = A2 × A2So,⇒ A2 = 9I∵ A4 = A2 × A2= 9I × 9I= 81 I2= 81 I [∵ I2 = I]

Q15 of 307 Page 6

If , find A⁴.

Given:

To find: A⁴

A⁴ = A × A × A × A

⇒ A⁴ = A² × A²

So,

⇒ A² = 9I

∵ A⁴ = A² × A²

= 9I × 9I

= 81 I²

= 81 I [∵ I² = I]

If , find A².

If , find A³.

If [x 2], find x.

If A = [a_ij] is a 2 × 2 matrix such that a_ij = i + 2j, write A.

If , find A4.