If , satisfies the matrix equation A2 = kA, write the value of k.

Given:and it satisfies the matrix equation A2 = kAFirstly, we find the A2= 2 A∴ k = 2Hence, the value of k = 2

Q11 of 307 Page 6

If , satisfies the matrix equation A² = kA, write the value of k.

Given:

and it satisfies the matrix equation A² = kA

Firstly, we find the A²

= 2 A

∴ k = 2

Hence, the value of k = 2

If , find AA^T.

If , where I is 2 × 2 unit matrix. Find x and y.

If satisfies A⁴ = λA, then write the value of λ.

If , find A².