Analysis in Mechanical Engineering
© Leon van Dommelen
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12. Gaussian Elimination
II
. Linear Algebra
Subsections
12
. Gaussian Elimination
12
.
1
Elimination Procedure
12
.
2
Partial Pivoting
12
.
3
Back substitution
12
.
4
LU Theorem
12
.
5
Row Canonical Form
12
.
6
Null Spaces and Solution Spaces
13
. Inverse Matrices
13
.
1
Finding inverses using GE
13
.
2
Finding inverses using minors
13
.
3
Finding inverses using transposing
14
. Eigenvalues and Eigenvectors
14
.
1
Finding Eigenvalues
14
.
2
Eigenvectors of nonsymmetric matrices
14
.
3
Eigenvectors of symmetric matrices
15
. Change of Basis
15
.
1
General Procedure
15
.
2
Diagonalization of nonsymmetric matrices
15
.
3
Diagonalization of symmetric matrices
Next:
12. Gaussian Elimination
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