Math 20, Old HW

Homework #1 Due Monday, September 27

Anton-Rorres: Section 1.1, #1, 2, 8, 11; Section 1.2 #3, 6, 7(a)(b), 13, 17.

Homework #2 Due Wednesday, September 29

Anton-Rorres: Section 1.2 #14 (a), (b), 26; Section 3.1 #1 (a-d), #2 (a-c), 6, 7, 8.

Homework #3 Due Friday, Oct 1

Anton-Rorres: Section 3.2: #1(a),(b), 3, 6
Section 3.3: #1(a)-(c), 2(a)-(c), 10, 12, 14(b).
Section 3.5: #10(a).

Homework #4 Due Wednesday Oct 6

Section 3.3: #4(a), (c), 5(a)(c), 8(a)
Section 3.5: #1(b), 4(a), 5(b), 9(c), 13, 39(a), 40(b), 43(a)
Section 4.1: #1(a-c), 6(a), 11(b), 14(a-b)

Homework #5 Due Friday Oct 8

Read Section 4.1
Section 3.5 #26, 37
Section 4.1 #10(a)
Section 4.2 #1, 2(a-b), 4(c-d), 6(a), 10, 12(a-b).
Not in book: N1: Find the matrix for reflection in the plane through the line y = -x.

Homework #6 Due Wed Oct 13

Section 4.2 #2(c), 7(b), 16(a), 19(b)
Section 1.3 #1, 3(e-h), 5(a-e), 6(b)
Section 1.4 #6

N1: Let T be the linear transformation from the plane to itself which is rotation by 90 degrees. Let S be the transformation of the plane which is reflection in the x-axis. Find the matrices associated to T composed with S and S composed with T.

N2: Draw the image of the integer grid in R^2 under the linear transformation which matrix is

-1 2
1 1

Homework #7 Due Fri Oct 15

Section 1.3 #4(a, c, f, h), 6(a, c)
Section 1.4 #6, 7(a)
Section 1.5 #5(a), 6(a)

Homework #8 Due Wed Oct 20

Section 1.5 #5(c)
Section 1.6 #1, 3
Section 2.1 #3, 7, 8, 10
Section 2.2 #2(a), 6, 9, 13
Section 2.3 #1(a), 4(a,d), 5(a-d)
Section 2.4 #9

Homework # 9 Due Friday Oct 22

On Midterm Review sheet.

Homework #10 Due Friday Oct 29

Section 5.2 #1, 7, 11(a)(c)
Section 5.3 #2, 6(a), 18
Section 5.4 #2(a-b), 3(a), 17, 18
Section 5.5 #2(a), 3(a), 6(a)
Section 5.6 #2(a,b), 5

HW #11 Due Wednesday Nov 3

Section 5.2 #14(a-b) Section 5.3 #1(a-b), 8
Section 5.4 #7(a), 17(a), 21
Section 5.6 #2(c), 14 (first part of question only)
Section 6.4 #4(a), 6
Section 9.3 #2, 4

HW #12 Due Friday Nov 5

N1: Suppose we want to determine to what extent a variable z depends (linearly) on u and v. Suppose we have data (u, v, z):

(1, 1, 5), (1, 2, 3), (2, 1, 4), (2, 3, 5), (3, 4, 1), (2,5,6)

(a) Find the best fit for this data of a function of the form z = a + b u + c v.

(b) Find the correlation between z and (u,v).

(For this problem, it's OK, and recommended, that you do your matrix multiplication via calculator or computer).

Rest of Problems from the Supplement:

11.3 #7, 8, 9, 12, 13
11.4 #1, 10, 15, 20, 21, 30

HW #13 Due Wednesday Nov 10

From the supplement:
11.4 #36, 38, 39
11.5 #2, 11, 16
11.6 #2, 6, 12, 13, 14
13.1 #6
13.2 #3, 27, 30, 32
13.3 #2, 5, 11

HW #14 Due Fri Nov 12

From the supplement:
13.2 #34, 36
13.3 #3, 9, 23
13.4 #3, 4, 6, 9, 12, 14
13.5 #1, 5, 25, 27

HW #15 Due Wed Nov 17

N1: Problem handed out in class.
Supp 13.5: 16, 17, 33, 37, 42
Supp 13.6: 1, 5, 7, 9, 16, 18

HW #16 Due Fri Nov 19

From Supp
Chap 13 Review: 14, 15, 16, 17, 18
13.6: 6, 13
13.7: 1, 5, 13, 14, 25

HW #17 Due Wed Nov 24

From Supp
13.9 #1, 5
14.1 #4, 7, 13, 16, 21, 23, 24

HW #18 Due Mon Nov 30

From Supp
14.1 #22
14.2 #1, 6, 7, 8, 9
14.3 #1, 5

HW#19 Due Wed Dec 1

On Midterm 2 review sheet.

HW#20 Due Friday Dec 3

On Midterm 2 review sheet.

Midterm 2 review sheet.

In PDF format: Review sheet.

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