If A = [1 0; 0 0] and B = [1 1; 0 0], then B′A′ is equal to :

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MCQ (Single)Matrix Multiplication and Its ConditionsTranspose of a Matrix and Its PropertiesCBSE PYQ

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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 :

Matrix Multiplication and Its Conditions

Properties of Matrix Multiplication

Assertion (A) : For any symmetric matrix A, B′AB is a skew-symmetric matrix. Reason (R) : A square matrix P is skew-symmetric if P′ = – P.

Given that [1 x][4 0; -2 0] = 0, the value of x is:

If A is a square matrix of order 3 such that the value of |adj·A| = 8, then the value of |Aᵀ| is :

If [x 2 0][5; −1; x] = [3 1][−2; x], then value of x is :