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Problems on Adjoint of a Matrix

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Adjoint OF square matrix

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Prove that adjoint of a symmetric matrix is also a symmetric matrix.

Write the adjoint of the matrix A=[(-3, 4),(7,-2)] .

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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

Adjoint and Inverse of a Matrix

Compute the adjoint of the matrix A given by A=[145326010] and verify that A(adjA)=|A|I=(adjA)A