Math 250: Introduction to Linear Algebra

Spring 2015



Week 1 Class Topic Homework From
1/20 Matrices & Vectors 1.1) 1, 3, 5, 9, 17, 19, 23, 25, 37-56, 71, 75, 79, 81, 82
1/23 Linear combinations 1.2) 1, 3, 9, 15, 29, 31, 35, 37, 39,45-49, 55-57,

Week 2
1/27 Snow Day!
1/30 Systems of linear equations
(Quiz on 1.1 & 1.2)
1.3) 1, 3, 23, 25, 39, 41, 43, 45, 47, 49, 51, 53, 55, 57,58,60,61, 66-72, 74-76, 81

Week 3
2/3 Gaussian elimination
(Quiz on 1.3)
1.4) 1, 3, 5, 7, 11, 13, 17, 19, 23, 27, 35, 37, 59-65,67-72, 73-75,81-82,88,91
2/6 Span 1.6) 1, 3, 17, 19, 21, 23, 25, 27, 29, 31, 33, 39, 43, 45-64, 70

Week 4
2/10 Linear dependence and independence
(Quiz on 1.4 & 1.6)
1.7) 1, 5, 13, 15, 23, 25, 29, 33, 39, 41, 51, 53, 57,63-82, 87, 89
2/13 Matrix Multiplication 2.1) 5, 7, 9, 11, 13, 15, 17, 19, 22, 23, 25, 29, 31,33-49 (skip: 38, 41, 42,45, 48)

Week 5
2/17 Invertibility
(Quiz on 1.7 & 2.1)
2.3) 1, 3, 33-44,(skip 35,38,41), 50, 54, 61,75, 77
2/20 Inverse of a Matrix 2.4) 1, 3, 7, 9, 35-50 (skip: 47,50), 64

Week 6
2/24 Exam #1
2/27 Linear Transformations 2.7) 7,11,15,19,36,38,49,50,57,61,67,97

Week 7
3/3 Determinants; Cofactor expansion
(Quiz on 2.4 & 2.7)
3.1) 1, 3, 9, 11, 13, 14, 15, 21, 23, 27, 29, 31, 37, 43, 45-63
3/6 Properties of Determinants 3.2) 5, 7, 11, 13, 17, 21, 27, 33, 39-58, 67, 69-71

Week 8
3/10 Subspaces
(Quiz on 3.1 & 3.2)
4.1) 1, 5, 11, 13, 19, 21, 27,47,48,51, 57-62, 67, 69, 72, 73, 81, 83, 85, 89, 93
3/13 Subspaces (con't) Work 4.1 problems

Week 9
3/17 Spring Break
3/20 Spring Break

Week 10
3/24 Basis and dimension
(Quiz on 4.1)
4.2) 1, 3, 5, 7, 17, 19, 21, 25, 27, 33-50, 53, 54
3/27 The dimension of matrix subspaces 4.3) 1, 3, 5, 7, 9, 11, 15, 17, 19, 27,41-57, 59-60

Week 11
3/31 Eigenvalues and eigenvectors
(Quiz on 4.2 & 4.3)
5.1) 1, 3, 7, 13, 17, 23, 41-44, 46, 50, 51, 55-60, 63, 67
4/3 Exam #2

Week 12
4/7 Characteristic polynomial
(No Quiz)
5.2) 1, 5, 9, 11, 13, 15, 17, 19, 21, 41,53-72 (skip: 61,62,66,67), 81
4/10 Diagonalization of a matrix 5.3)15, 17, 19,29-46 (skip: 36-40) 49, 51,55,57, 61,73,81, 82

Week 13
4/14 Diagonalization of a matrix (con't); Geometry of vectors
(Quiz on 5.1 & 5.2)
5.3) (con't) 1, 3, 5, 7, 11, 36-40, 47,48,63,65, 77, 78, 83, 85
4/17 Geometry of vectors 6.1) 3, 5, 7, 9, 11, 13, 15, 17, 25, 29, 33, 37, 43, 49, 51, 53, TF: 61-80, 95, 97, 98

Week 14
4/21 Orthogonality
(Quiz on 5.3 & 6.1)
6.2) 1, 3, 7, 9, 13, 17, 21, TF: 41-51
4/24 Orthogonal projection 6.3) 1, 5, 8

Week 15
4/28 Orthogonal projection; Least squares
(Quiz on 6.2 & 6.3)
6.3) 9, 11, 17, 19, 21, TF: 33-56, 59, 61
5/1 -

Finals Week
5/7 Final Exam (12-3PM) in Tillet 264