Overview of Week 6
Math 308 Section A, May 5, 1997
-
Reading Assignment:
- Read Section 2.4 for Monday, May 5.
- Read Section 2.5 for Wednesday, May 7.
- Read Section 2.6 for Monday, May 12.
-
Homework Assignment:
- Section 2.3 Page 139, problems 1--39 all multiples of 3,
42, 43, 46, and 49.
Due Monday, May 5.
- Section 2.4 Page 153, all odd numbered problems
from 1 to 29, and problems 33, 34, and 35.
Due Wednesday, May 7.
- Section 2.5 Page 166, all of the odd numbered
problems 1--27.
Due Monday, May 12.
- Section 2.6 Page 177, all of the odd numbered
problems from 1 to 19.
Due Wednesday, May 14.
-
Vocabulary List:
- 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
- Section 2.5:
- dimension
- nullity of a matrix
- rank of a matrix
-
Key Concepts:
- 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
- Section 2.5:
- dimension
- nullity and rank
-
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
- computing rank and nullity
-
Quiz:
Friday, May 9.
- This quiz is based on the vocabulary and homework for sections 2.2, 2.3 and 2.4.