If , find k so that A 2 = kA – 2I

Question

Philoid · Accepted Answer

A² = A.A

Now, A² = kA – 2I

Comparing the corresponding elements, we get,

3k -2 = 1

⇒ 3k = 3

⇒ k = 1

Therefore, the value of k is 1.

If , find k so that A2 = kA – 2I