G63.2120 Download Page

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• Text: Strang, Gilbert. Linear Algebra and Its Applications, 3rd. ed. New York: Harcourt Brace Jovanovich, 1988.

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• Course Syllabus (size: 11K)


• Paper Assignment (size: 30K)


• Homework Sets

Homework Set 1 (size: 37K)

Eigenvalues and eigenvectors, diagonalization (Sections 5.1-5.2).

Homework Set 2 (size: 37K)

Complex matrices and similarity tranformations (Sections 5.5-5.6).

Homework Set 3 (size: 40K)

Jordan canonical form, linear systems of difference equations (Appendix B, Section 5.3).

Homework Set 4 (size: 35K)

Linear systems of ODEs (Section 5.4).

Homework Set 5 (size: 30K)

Definiteness, the Rayleigh quotient (Sections 6.2-6.4), and the phase plane.

Homework Set 6 (size: 37K)

The singular value decomposition, norms, (Appendix A, Sections 7.1-7.2), and variational principles.

Homework Set 7 (size: 33K)

The power method, linear programming (Sections 7.3, 8.1).

Homework Set 8 (size: 34K)

The simplex method, duality (Sections 8.2, 8.3).

Homework Set 9 (size: 38K)

Duality, network flows (Sections 8.3, 8.4), and quadratic programming.

Homework Set 10 (size: 46K)

Network flows, game theory (Sections 8.4, 8.5) and linear operators.

Homework Set 11 (size: 50K)

Linear operator theory, inner products, and eigenvalues.

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