A Second Course in Linear Algebra
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Proof Techniques
A Second Course in Linear Algebra
Preface
Dedication and Acknowledgements
Canonical Forms
Nilpotent Linear Transformations
Invariant Subspaces
Jordan Canonical Form
Matrix Decompositions
Rank One Decomposition
Triangular Decomposition
Singular Value Decomposition
Square Roots
Polar Decomposition
Topics
Fields
Trace
Hadamard Product
Vandermonde Matrix
Positive Semi-Definite Matrices
Applications
Curve Fitting
Sharing a Secret
Archetypes
A
B
C
D
E
F
G
H
I
J
K
L
M
N
O
P
Q
R
S
T
U
V
W
X
Reference
Notation
Definitions
Theorems
Examples
Sage
Proof Techniques
GFDL License
