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 = [-2 0 0; 1 2 3; 5 1 -1], then the value of | A (adj. A) | is:

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

MCQ (Single)Transpose of a Matrix and Its PropertiesDeterminant of a Square MatrixAdjoint 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 :

If A = [0 1 -1; 1 2 1; 0 3 -2], then the value of |A adj (A)| is :