Overview of Week 5
Math 308 Section A, April 28, 1997
MIDTERM EXAM, MONDAY, APRIL 28
Comprehensive Examination on Chapter 1
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Reading Assignment:
- Read Sections 2.1-2.3 for Wednesday, April 30.
- Read Section 2.4 for Friday, May 2.
- Read Section 2.5 for Monday, May 5.
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Homework Assignment:
- Section 2.1 Page 120, problems 1--21 multiples of 3.
Due Wednesday, April 30.
- Section 2.2 Page 127, all of the odd numbered
problems from 1 to 25.
Due Friday, May 2.
- Section 2.3 Page 139, problems 1--39 all multiples of 3,
42, 43, 46, and 49.
Due Friday, May 2.
- Section 2.4 Page 153, all odd numbered problems
from 1 to 29, and problems 33, 34, and 35.
Due Monday, May 5.
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Vocabulary List:
- Section 2.2:
- scalar
- vector space
- subspace
- Section 2.3:
- the linear span of a set, or the subspace spanned by a set
- the null space of a matrix (or the kernel of a matrix)
- the range of a matrix
- the column space of a matrix
- the row space of a matrix
- Section 2.4:
- basis
- spanning set for a subspace
- minimal spanning set for a subspace
- Theorem 7 page 151
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Key Concepts:
- Section 2.2:
- Section 2.3:
- the linear span of a set
- the null space of a matrix
- the range space of a matrix
- the row and column spaces of a matrix
- Section 2.4:
- bases
- spanning sets and minimal spanning sets for a subspace
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Skills to Master:
- Verifying that subsets are subspaces (see page 124)
- representing the null space and the range space of a matrix
- computing a basis for a subspace
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Quiz:
Friday, May 2.
- There is no quiz this Friday.