Overview of Week 2
Math 308 Section A, April 7, 1997
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Reading Assignment:
- Read Sections 1.5 for Wednesday, April 7.
- Read Section 1.6 for Monday, April 14.
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Homework Assignment:
- Section 1.3 Page 35, problems 8, 18, 21, 25, 28, 33, 34,
37, *49, *50a.
Due Wednesday, April 9.
- Section 1.4 Page 43, problems 3--22.
Due Friday, April 11.
- Section 1.5 Page 49, all even numbered problems.
Due Monday, April 14.
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Vocabulary List:
- Section 1.3:
- m by n matrix
- coefficient matrix
- augmented matrix
- the three elementary row operations
- row equivalence of matrices
- echelon form
- reduction to echelon form (4 steps for m by n matrices)
- reduced echelon form
- Section 1.4:
- Theorem 3
- What are the three possibilities for the stucture of the
solution set to a linear system of equations?
- homogeneous linear system of equations
- trivial and non--trivial solutions to
homogeneous linear system of equations
- Section 1.5:
- There are no vocabulary words to be memorized from this section.
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Key Concepts:
- Section 1.3:
- Matrix representation of linear systems
- Elementary row operations and reduction to echelon form
- Section 1.4:
- Theorem 3 and the structure of the solution set to a
systems of linear equations
- Section 1.4:
- Conservation of flow in a network and the node--arc incidence matrix.
- Ohm's Law and Kirchoff's first and second laws
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Skills to Master:
- Reduction to echelon and reduced echelon forms.
- Description of the solution set to a linear system of
equations.
- Describing the possible structure of the solution set of
a linear system without actually solving the system. This requires a
complete understanding of Theorem 3, the contents of the
paragraph immediately following the statement of the theorem, and the
statement of the Corollary.
- Network problem set--up and solution.
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Quiz:
- This quiz is based on the vocabulary words and homework associated with
Sections 1.2 through 1.4 of the text.