If B(adj B) = [[1/3, 0, 0], [0, 1/3, 0], [0, 0, 1/3]], then the value of det(B⁻¹) =

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Invertible Matrix and Its Definition, Determinant of a Square Matrix, Adjoint of a Square Matrix | PadhAiPro

Question

MCQ (Single)Invertible Matrix and Its DefinitionDeterminant of a Square MatrixAdjoint of a Square Matrix

Let A = [a b; c d] be a square matrix such that adj A = A. Then, (a + b + c + d) is equal to :

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

Determinant of a Square Matrix

Adjoint of a Square Matrix

For the matrix A = [2 -1 1; λ 2 0; 1 -2 3] to be invertible, the value of λ is :

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

Let A be a 3 × 3 matrix such that |adj A| = 64. Then |A| is equal to :

If A . (adj A) = [3 0 0; 0 3 0; 0 0 3], then the value of |A| + |adj A| is equal to :