Properties of matrices and determinants (Matrix Algebra). Linear independence and dependence.Rank of a matrix and its properties.

System of linear equations. Eigenvalues and eigenvector. Gate Syllabus:Vector space,Basis,Linear dependence and independence,Matrix algebra, Eigen values and eigen vectors,Rank. Solution of linear equations – existence and uniqueness. This material is helpful for both Gate and placements. It consists of shortcut formulas to tackle problems. It consists of different varieties of examples.

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