Linear Algebra for ECE

Course Description

Systems of linear equations; Row reduction and echelon forms; Matrix operations, including inverses; Block matrices; Linear dependence and independence; Subspaces and bases and dimensions; Orthogonal bases and orthogonal projections; Gram-Schmidt process; Linear models and least-squares problems in ECE; Determinants and their properties; Cramer's Rule; Eigenvalues and eigenvectors; Matrix diagonalization; Matrix exponential; Symmetric matrices; Positive definite matrices; Similar matrices; Linear transformations; Applications to ECE.



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