A is a 2 x 2 matrix, I is 2 x 2 identity matrix. |A - xI| = 0 has the roots -1, 3. Then find the sum of diagonal elements of A^2.

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KalyaniMeshram · Answer 1 · 2024-01-31T04:07:14+0000

A is a 2 x 2 matrix

|A - xI| = 0 has the roots -1, 3.

Sum of diagonal element of A²

= a² + d²+ 2bc

= (a + d)² + 2(bc - ad)

= 4 + 6

= 10