Mathematics 349 Download Page (Fall 2000)

• Textbook:
Kolman, Bernard, and Hill, David R. Elementary Linear Algebra, 7th ed. New York: Prentice-Hall, 2000.  (The link is to the 8th edition.)




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• Course Syllabus (size: 11K)


• Computer Instructions (size: 8K)


• Maple Worksheets
Vector Analysis (size: 10K) revised version posted 9/5/00
Basic Matrix Operations (size: 10K) revised version posted 9/12/00
Advanced Matrix Operations (size: 8K)
Transition Matrices (size: 8K)
Rank and Projections (size: 9K)
The Gram-Schmidt Algorithm (size: 4K)
The Least-Squares Method (size: 5K)
Similarity and Determinants (size: 10K)
Eigenvalues and Eigenvectors (size: 6K)

 

Homework Sets

Homework Set 1 (size: 46K) revised version posted 9/11/00

Vector analysis (parts of sections 2.1, 2.2, 2.4, 2.5, 2.7, 3.1).

Homework Set 2 (size: 32K)

Systems of linear equations, matrix operations, echelon forms (sections 1.1, 1.2, 1.5).

Homework Set 3 (size: 44K )

Properties of matrix operations; classification of matrices; inverses; span, basis, dimension, linear independence, and subspaces for general vector spaces (sections 1.3, 1.4, 1.6, 2.2-2.5).

Homework Set 4 (size: 35K)

Basis, dimension, null spaces, transition matrices (sections 2.5-2.7).

Homework Set 5 (size: 35K) revised version posted 10/12/00

Column and row spaces, rank, dot product (sections 2.8, 3.1).

Homework Set 6 (size: 45K)

Inner product spaces, Gram-Schmidt, orthogonal complements (sections 3.3-3.5).

Homework Set 7 (size: 48K) revised version posted 11/13/00

Least squares, linear transformations, kernel and range (sections 3.6-4.2).

Homework Set 8 (size: 53K)

Matrix representations, similarity, determinants (sections 4.3, 4.5, 5.1).

Homework Set 9 (size: 57K) revised version posted 11/27/00

Propeties of determinants, the adjugate, Cramer's Rule, introduction to eigenvalues (sections 5.2-5.5, 6.1).

Supplemental Study Material (size: 51K )

Eigenvalues, diagonalization (sections 6.1, 6.2).

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