Homework for Week 1
Math 408 Section A, January 5, 2004
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Reading Assignment:
- Review notes for Math 308: Due Friday, January 9.
- Investment Science: Due Monday, January 12.
- Ch. 1, Sec. 1.1--1.3
- Ch. 2, Sec. 2.1--2.3
- Investment Science: Due Friday, January 16.
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Homework Assignment:
- Math 308 review: Answer all of the questions
in the Basic Review and do all of the sample question for Friday's
quiz. Due Friday, January 9.
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Vocabulary List:
- Math 308 Review:
- m by n systems of linear equations
- Gaussian elimination
- echelon form
- dot product
- orthogonal vectors
- subspace
- basis and dimension
- internal representation of a subspace
- external representation of a subspace
- the 4 fundamental subspaces associated with a matrix
- rank and nullity
- properties of matrix multiplication
- manipulation of block structured matrices
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Key Concepts:
- Math 308 Review:
- Linear systems of equations
- Gaussian elimination as a method to attain echelon form
- Echelon form and the solution of a linear system
- Subspaces and their representations: internal and external
- Properties of the 4 fundamental subspaces associated with a matrix.
- Gaussian elimination as matrix multiplication, and the LU factorization.
- Manipulation of block structured matrices
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Skills to Master:
- Gaussian elimination, reduction to echelon form
- The use of Gaussian elimination matrices and Householder transformations
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Quiz:
- This quiz is based on the vocabulary words and homework associated with
the Math 308 review material. The quiz will consist of two questions
(possibly multi-part). The first will be related to the vocabulary
words and the second will be computational.