If A = [{4 3} {2 5}], find x and y such that A^2 – xA + y I = 0

Question

If A = \(\begin{bmatrix} 4& 3\\2&5\end{bmatrix}\), find x and y such that A² – xA + y I = 0

(a) x = 9, y = –14

(b) x = 14, y = 9

(c) x = 9, y = 14

(d) x = –9, y = 14

Answer 1

Correct option is (c) x = 9, y = 14