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Linear Algebra Course Notes

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Course notes on matrix algebra, determinants, systems of linear equations, subspaces, and introductory study of eigenvalues and eigenvectors

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Class notes

Week 1: Systems of Linear Equations, Row Operations, and Gaussian Elimination

Week 2: Rank, Homogeneous Systems, and Matrix Algebra

Week 3: Matrix Inverse, Elementary Matrices, and Inverse Properties

Week 4: Determinants, Spanning Sets, and Linear Independence

Week 5: Subspace, Basis, and Dimension, Row Column, Null Space, Rank-Nullity Theorem

Week 6: Linear Transformations, Matrices, Kernel and Image of a Linear Transformation

Week 7: Eigenvalues and Eigenvectors

Week 8: Eigenspaces and Diagonalization & Complex Eigenvalues

Week 9: Applications of Eigenvalues and Eigenvectors

Week 10: Applications of Eigenvalues and Eigenvectors

May 2025

2024/2025

$2.99

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Mohammed K A Kaabar A First Course in Linear Algebra

Edition:2014
ISBN:9781502901811
Edition:Unknown

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Linear Algebra Course Notes

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