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Unit - 1 Matrix Algebra

1.1 Matrix algebra1.2 Solution of system of linear equations Gauss Elimination

1.3 Rank and Inverse of matrices GaussJordan

1.4 Examples of Vector Spaces

Unit - 2 Eigen values and Eigen Vectors

2.1 Eigen values and eigen vectors2.2 Symmetric and skewsymmetric matrices

2.3 Orthogonal matrices Complex matrices

2.4 Hermitian and skew matrices

2.5 Unitary matrices and similarity of matrices

2.6 Diagonalisation of Matrices

Unit - 3 Vector Differential Calculus

3.1 Vector and scalar functions and fields derivative3.2 Tangents and arc Length curves

3.3 Gradient divergence and curl

Unit - 4 Vector Integral Calculus

4.1 Line Integrals4.2 Green Theorem

4.3 Surface integrals

4.4 Gauss theorem and Stokes Theorem Without Proof

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