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Adjoint of a Matrix#!#Properties of Adjo...

Adjoint of a Matrix#!#Properties of Adjoint of a Matrix

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Which of the following is/are incorrect? (i).Adjoint of symmetric matrix is symmetric (ii).Adjoint of unit matrix is a unit matrix (iii). A(adjA)=(adjA)A=!|A|I (iv). Adjoint of a diagonal matrix is a diagonal matrix

Transpose OF a matrix || Adjoint OF a matrix

Which of the following is/are incorrect? (i) adjoint of a symmetric matrix is symmetric (ii) adjoint of a unit matrix is a unit matrix (iii) A (adj A)=(adj A)A=absAI (iv) adjoint of a diagonal matrix is a diagonal matrix

If A is matrix of order 3 such that |A|=5 and B= adj A, then the value of ||A^(-1)|(AB)^(T)| is equal to (where |A| denotes determinant of matrix A. A^(T) denotes transpose of matrix A, A^(-1) denotes inverse of matrix A. adj A denotes adjoint of matrix A)

Properties OF Matrix Multiplication || Transpose OF a Matrix || Properties OF Matrix

Let matrix B be the adjoint of a square matrix A, l be the identity matrix of the same order as A. If k ( ne 0) is the determinant of the matrix A, then what is AB equal to ?