M340L, Applied Linear Algebra

This page is always under construction, so
you
should check it regularly. Assignments with the **due date**
in **bold face** are set in stone.
Other assignments are still tentative.

The homework is due **every Thursday** in lecture, except for the
first week. The assignments will appear on this page.

Each written homework will be graded on a 10-point scale. Some of those points will be for completing all of the problems. Some are for the accuracy of your solution to one or two selected problems. (Our grader is only working 5 hours/week.)

The homework is in two parts. There are the

Section 1.1: Required: 6, 9, 25; Suggested: 1, 4, 15, 19, 31

Section 1.2: Required: 3, 7c, 28; Suggested: 1, 2, 4

Section 1.3: Required: 2, 3, 8; Suggested: 4, 6, 10

Section 2.1: Required: 12, 16; Suggested: 1, 2, 3, 5

Section 2.2: Required: 11, 12, 23; Suggested: 1, 2, 5, 27

Section 2.3: Required: 16, 25, 26; Suggested: 1, 3, 4, 12

Section 2.4: Required: 1, 2, 6; Suggested: 11, 14, 20, 22

Section 2.5: Required: 6, 22, 27, 29; Suggested: 5, 21, 23, 34. (On 34, you can assume that A and D are invertible)

Section 2.6: Required: 1, 2, 3, 4; Suggested: 7, 16, 17.

Section 3.1: Required: 10, 11, 17, 19, 23, 27; Suggested: 12, 14, 15, 18, 20

Section 3.2: Required: 1,2,3,4,22; Suggested: 9, 13, 14, 21.

Section 3.3: Required: 2, 6, 8, 24; Suggested: 1, 7, 11

Section 3.4: Required: 1, 4, 6, 10; Suggested: 2, 3, 13.

Section 3.5: Required: 1, 9 ,11, 16; Suggested: 2, 12, 20, 23.

Thursday, March 8

Section 3.6: Required: 2, 5, 7, 28; Suggested: 1, 13, 14, 23.

Section 4.1: Required: 3, 9, 19, 22. Suggested: 4, 11, 13.

Section 4.2: Required: 5, 8, 11, 17; Suggested: 2, 13, 16.

Section 4.3: Required: 1-4, Suggested: 5-7

Section 4.4: Required: 16, 18, 21; Suggested: 13, 15

Section 6.1, # 1, 4, 6, 21 (required) and 2, 3, 5, 19 (suggested)

Section 6.2, #6, 7, 12, 18 (required) and 1, 13, 25 (suggested)

All these are

Also, do the following two problems:

1) Let V=W be the space of quadratic polynomials in a variable t. Let L:V => W be a linear transformation that shifts the graph of a polynomial one unit to the right. That is, if x(t) is a polynomial, Lx(t) = x(t-1). Find the matrix of L with respect to the standard bases for V and W (namely {1,t,t

2) Let V=W be the space of 2x2 matrices, and let L: V => W be the transpose operation: If x is a 2x2 matrix, then L(x)=x