# Spring 2016

Professor: Dr. Janet Vassilev
Office: SMLC 324

Office Hours:  TWR 11 am -12 pm and by appointment.
Telephone: 505 277-2214
email: jvassil@math.unm.edu

webpage: http://www.math.unm.edu/~jvassil

## Linear Equations

1.1:  1(a, b, d), 2(a, c), 3(a, b, d), 4(a, b, c), 5(a, b, c), 6(a, c, f), 7, 8 (Editions 7 and 8)

## Matrix Arithmetic

1.2:  1, 2, 3, 5(a, c, e, f,h), 6(a, d), 8, 11, 12
1.3:  1, 2, 3, 4, 5(a, c), 6(a), 8, 9, 10
All of the above problems are in both the 7th and 8th Editions and
1.3 15 from 8th Edition or 1.3 28 from 7th Edition

## Elementary Matrices

7th Edition: 1.3: 20(a), 9, 10, 15, 26(b), 29(a)
1.4: 1, 2, 8(a,d), 10(a,f), 12(a,d), 15

8th Edition: 1.4 1(a), 6, 7, 12, 28, 30(a)
1.5: 1, 2, 8(a,d), 10(a,f), 12(a,d), 15

## Properties of Determinants (Quiz 2 1.4-1.5)

7th and 8th Editions:
2.1: 1, 2, 3(a,d,f,g,h), 4, 5, 6
2.2: 1, 2, 3(a,c,e f), 4, 5, 7(c, d), 9, 12(a)

## Vector Spaces

7th and 8th Editions:
2.3: 1(a,c), 2(a,c,d), 3, 5(a,b), 8
3.1: 3, 6, 7, 9, 10, 14

## Review (Scanned Quiz Solutions)

7th Edition: 3.2: 1(a,c,e), 3(a,d), 4(a,d), 8(b,c), 10(a,c), 14(a,d), 16
8th Edition
3.2: 1(a,c,e), 3(a,d), 4(a,d), 10(a,b), 12(a,c), 16(a,d), 18

Solutions

## Linear Independence

7th Edition: 3.3: 1(a,c), 2(a,c), 4(a), 6(a,c), 7(a) 10(a,b)
8th Edition
3.3: 1(a,c), 2(a,c), 4(a), 8(a,c), 9(a) 12(a,b)

## Change of Basis

Both editions:
3.4: 3, 4, 5(a,b,c), 7, 10, 14(c)
3.5: 1(a), 2(a), 3, 4, 5, 6, 7, 8, 10

## Linear Transformations (Quiz 5 3.4-3.5)

7th Edition: 3.6 1, 2(b), 3, 4(b,d), 6, 7, 8, 10, 11
8th Edition: 3.6 1, 2(b), 3, 4(b,d), 6, 8, 9, 15, 16
Both Editions 4.1 1(a,b,d), 3, 4, 5(a,c,d), 6(a,d), 8(a,c), 10

## Inner Products

4.2 1, 2(a,b,c), 3(a,b), 4(a), 5(a,b,c)
4.3 1(a,b,e)
5.1 1(a,b), 2(a,b), 3(a,c), 4, 7

Solutions

## Least Squares

5.2 1(a,b,c,d), 2
5.3 1(a,c), 3(a), 5, 6

## Gram-Schmidt

5.4 1, 2, 3, 5, 9
5.5 1, 2, 3, 6, 8
5.6 1(a), 3, 4, 5, 8

## Systems of ODEs (Quiz 8 5.4-6.1)

6.1 8th Edition 1(a,c,d,e,f,g,k), 2, 3, 8, 9

7th Edition 1(a,c,d,e,f,g,k), 2, 3, 6, 7
6.2 1(a,b,d,e), 2(a,b), 3, 4, 5

## Review

6.3 1(a,c), 2(a,c), 6, 7 (These don't need to be turned in.)