If A = [3, -5; -4, 2] then A² - 5A =

Question

MCQ (Single)Properties of Matrix Multiplication

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If A and B are two non-zero square matrices of same order such that (A + B)² = A² + B², then :

If F(x) = [cos x –sin x 0; sin x cos x 0; 0 0 1] and [F(x)]² = F(kx), then the value of k is :

Properties of Matrix Multiplication

If A = [2 1; -4 -2], then the value of I – A + A² – A³ + ... is:

If A = [1 0 2; 0 2 1; 2 0 3], then show that A³ − 6A² + 7A + 2I = O.

If A = [1 2 3; 3 −2 1; 4 2 1], then show that A³ − 23A − 40I = O.

For two matrices A and B, given that A⁻¹ = (1/4)B, then inverse of (4A) is :