Aggarwal S., Shahida A. Handbook of Matrices 2022

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Textbook in PDF format

Preface
Matrix Algebra
Determinant and Inverse of a Square Matrix
Some Special Matrices
Elementary Operations and Rank of a Matrix
Linear Dependence and Independence of Vectors
Solution of System of Linear Equations
Eigen Values and Eigen Vectors of a Matrix
Algebraic and Geometric Multiplicities of an Eigen Value of a Square Matrix
Cayley-Hamilton Theorem
Diagonalization of a Matrix
Multiple Choice Questions
References

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