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Matrix Algebra: Types of Matrices, Inverse of a matrix by elementary transformations, Rank of a matrix (Echelon & Normal form), Linear dependence, Consistency of linear system of equations and their solution, Characteristic equation, Eigen values and Eigen vectors, Cayley-Hamilton Theorem, Diagonalization, Complex and Unitary Matrices and its properties.4个多个积分：双重和三个积分，集成顺序的变化，变量的变化，集成在长度，表面积和体积上的应用 - 笛卡尔和极性坐标。beta和伽马功能，Dirichlet的积分及其应用。5向量计算：矢量的点功能，梯度，差异和卷曲及其物理解释，矢量身份，切线和正常定向衍生物。线，表面和音量积分，Green's，Stoke's和Gauss Divergence定理的应用。
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