Math 430, Fall 2006

Matrix Analysis

John Zweck


Schedule
Date Section Topic Notes Homework Homework Due Date
W Aug 30
Day One
Intro to
Applications
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1.2: 4,5,8,9,16
1.3.2
2.1: 1,5,6
2.2: 1a, 3
2.3: 1ace, 2
2.4: 1c,5,7
2.5: 1c,4
W Sep 6
W Sep 6
3.2-3.4
Matrix Algebra
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3.2.3ab, 3.2.6, 3.2.8, 3.3.1, 3.4.1
W Sep 13
M Sep 11
3.5-3.7
Matrix
Inversion
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3.5.4, 3.5.6, 3.5.7, 3.6.1, 3.6.10, 3.7.2, 3.7.3, 3.7.10b, 3.7.11a
W Sep 20
W Sep 13
4.1-4.2
Subspaces;
Range and Nullspace
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4.1: 1ade, 2abcg,6cd,9,11
W Sep 20
M Sep 18
4.2-4.3
Linear Independence
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4.2: 1,2,3,5,7,12,13
4.3: 2,4,6,7,10,11,12
W Sep 27
W Sep 20
4.3, 4.4
Basis,Dimension
Rank+Nullity Theorem
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4.4: 2,4,5,8,9,15
W Sep 27
M Sep 25
4.5, 4.6
Least Squares
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4.5: 8, 20
4.6: 2,3,6,7,9
MON Oct 2**
M Oct 2
4.7
Linear Transformations
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4,6,8,9,12a,13,19
Wed Oct 11
W Oct 4
EXAM 1
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M Oct 9
4.8
Change of Basis
Similarity
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1,3,4,7,9,11,12
W Oct 18
W Oct 11
6.1
Determinants
Last Day to
Email re Project Pairs
3,5,11,12,18,19
And The Questions Here [pdf]
W Oct 18
M Oct 16
6.1
Determinants
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W Oct 25
W Oct 18
6.2
Determinants
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6.1: 14,21
6.2: 1b,3b,5,7,9,14a,15a
W Oct 25
M Oct 23
7.1
Eigensystems
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1,8,9,10,12,13,14,16,17,18
W Nov 1
W Oct 25
7.2
Diagonalization
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1,2,4,5,6,13
W Nov 8
M Oct 30
CATCH UP
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W Nov 1
EXAM 2
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M Nov 6
5.3, 5.4, 5.5
Orthogonal Vectors
Gram Schmidt
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5.3: 1, 2a, 4
5.4: 1b, 3, 4, 9, 11, 12, 14, 15, 16
5.5: 1, 3, 5, 11
W Nov 15
W Nov 8
5.6
Orthogonal Matrices
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5.6: 2, 3, 4, 8, 11, 12, 18
W Nov 22
M Nov 13
5.9
Complementary Subspaces
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5.9: 1,3,4,6,7
W Nov 22
W Nov 15
5.10, 5.11
Range-Nullspace Decomposition
Orthogonal Decomposition
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5.11: 1,3,4,5,11
W Nov 29
M Nov 20
7.5, 7.2
Spectral Theorem for Normal Matrices
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7.2: 12, 20
7.5: 1,3,4,5,6,7
W Nov 29
W Nov 22
CATCH UP
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Thanksgiving
week
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M Nov 27
7.3
Function of Matrices
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1,3,4,6,10,11
W Dec 6
W Nov 29
7.4
Systems of ODEs
PROJECT DUE
1,2,4
W Dec 6
M Dec 4
7.6
Quadratic Forms
1,4,7
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Not Due
W Dec 6
8.2
Positive Matrices
1,2,4,5,8
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Not Due
M Dec 11
8.4
Markov Chains
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Not Due
M Dec 18
FINAL
3:30-5:30pm
ITE 233
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