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Matrices by A R Vasishtha
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Overview: SYLLABUS- MATRICES, Matrices

Unit-4: Symmetric and skew-symmetric matrices, Hermitian and skew-

Hermitian matrices, Orthogonal and unitary matrices, Triangular and

diagonal matrices, Rank of a matrix, Elementary transformations,

Echelon and normal forms, Inverse of a matrix by elementary

transformations.

Unit-5: Characteristic equation, Eigen values and eigen vectors of a

matrix, Cayley-Hamilton’s theorem and its use in finding inverse of a

matrix, Application of matrices to solve a system of linear (both

homogeneous and non-homogeneous) equations, Consistency and

general solution, Diagonalization of square matrices with distinct eigen

values, Quadratic forms.
Genre: Non-Fiction > Educational

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