Additional notes on linear algebra

© Leon van Dommelen

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Some Revised Notes on
Linear Algebra

Leon van Dommelen

Abstract:

This are some revised notes on linear algebra. They supplement the current text book [2].

Contents
1 Gaussian Elimination
2 Partial Pivoting
3 Back substitution
4 LU Theorem
5 Reduction to Row Canonical form
6 Finding null spaces and solution spaces
7 Finding inverses using GE
8 Finding inverses using minors
9 Finding inverses using transposing
10 Finding eigenvalues
11 Eigenvectors of nonsymmetric matrices
12 Eigenvectors of symmetric matrices
13 Change of basis (coordinate system)
14 Diagonalization of nonsymmetric matrices
15 Diagonalization of symmetric matrices
References

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