Math 2901: Homework 9
MENU, Fall 2012
NOT TO BE TURNED IN
Section 7.5. 13, 16, 24, 25, 29, 49, 50
Be sure to show and explain your work as best you can!
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Math 2901 Midterm 2
Autumn Quarter 2011
Wednesday, November 16, 2011
(2 points) Put a check mark next to your section:
Cutrone
Cyr 10am
Cyr 12pm
Gutzwiller 10
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Math 2901 Midterm 2
Autumn Quarter 2012
Monday, November 19, 2012
Put a check mark next to your section:
Allen
Canez
Cyr (10am)
Cyr (12pm)
Peters
Instructions
North western Umversrtysgg; We)
t ID:
Math 2901 Midterm 2
Autumn Quarter 2012
Monday, November 19, 2012
Put a check mark next to your section:
Instructions:
0 Read each problem carefully.
Questi
: ' . . Name:
North western Umversrty Student ID:
Math 2901 Practice Midterm 2
1. Determine whether each of the following statements is TRUE or FALSE. Justify your
answer.
(a) Let A, B, C be n X n m
Math 2902: Homework 1
Northwestern, Winter 2014
Due: January 13, 2014
Bretscher, Section 5.1. 8, 9, 11, 16, 17, 25, 26, 28, 29, 32
TF. Is it true or false that there is an orthonormal basis of R3 whi
Math 2902: Homework 3
Northwestern, Winter 2014
Due: January 24, 2014
Bretscher, Section 5.3. 3, 4, 8, 10, 28, 29, 35, 40, 42, 65.
For 28, instead of using the books hint (its ne if you do use it) re
Notes on the GramSchmidt Process
MENU, Winter 2013
Im not too happy with the way in which the book presents the GramSchmidt process, and
wanted to provide some clarications as well as an alternate a
. . ; Scuff N
' . Northwestern Unwersyim ID: 10 5
Math 2901 Final Exam
Autumn Quarter 2012
Wednesday, December 12, 2012
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Instructions:
0 Read each problem
ame:
11}, g I N
Northwestern Urnversuyst
udent ID:
Math 2901 Midterm 2
Autumn Quarter 2012
Monday, November 19, 2012
Put a check mark next to your section:
Instructions:
I Read each problem c
Northwestern University
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Math 2901 Practice Midterm 1
Fall Quarter 2010
Wednesday, October 20, 2010
Question 1. Complete the following denitions:
(a) A matrix is in echelon form if i
Practice Problems for Midterm 2
1. True/False
Determine whether each of the following is true or false. Briey justify.
1
(1) 0 is in the kernel of
0
0 2 4 5
6 3 8 10
12 4 1 3
0
(2) 0 : 1 z 1 is
Northwestern University
Name:
Student ID:
Math 2901 Practice Midterm 2
1. Determine whether each of the following statements is TRUE or FALSE. Justify your
answer.
(a) Let A, B, C be n n matrices. If
Math 2901: Quiz 4
MENU, Fall 2012
November 1, 2012
Name:
Suppose that v1 , v2 , and v3 are three linearly
matrix having these vectors as columns:

A = v1

independent vectors in R5 and let A be the
Math 2901: Quiz 4 Solutions
MENU, Fall 2012
Suppose that v1 , v2 , and v3 are three linearly
matrix having these vectors as columns:

v1
A=

independent vectors in R5 and let A be the 5 3


v2 v3
Condensed Lecture Notes (Part 3)
Properties of the Chemical Elements
Hydrogen
Hydrogen is the most abundant element in the universe. It is a transparent gas under normal conditions.
It can form both a
Math 2901: Quiz 5
MENU, Fall 2012
November 8, 2012
Name:
Let T : R2 R2 be the linear transformation dened by
T (x) =
1 2
x.
4 3
Find a basis B = cfw_v1 , v2 of R2 such that the matrix of T relative
Math 2901: Quiz 5 Solutions
MENU, Fall 2012
Let T : R2 R2 be the linear transformation dened by
1 2
x.
4 3
T (x) =
Find a basis B = cfw_v1 , v2 of R2 such that the matrix of T relative to B is
basis
Math 2901: Quiz 6
MENU, Fall 2012
November 15, 2012
Name:
Compute the determinant of the following matrix:
1 2 5
0 0
3
A=
2 6 7
5 0
4
2
0
5
4
Based on your answer, how do you know that for any y in R
Math 2901: Quiz 6 Solutions
MENU, Fall 2012
Compute the determinant of the following matrix:
1 2 5
0 0
3
A=
2 6 7
5 0
4
Based on your answer, how do you know that for any
that
2
1
5
0
0
3
c1 + c
Math 2901: Quiz 7
MENU, Fall 2012
November 29, 2012
Name:
Determine, with justication, the value(s) of k for which the following matrix is diagonalizable.
0 0 3
A = 3 k 3
1 0 2
Math 2901: Quiz 7 Solutions
MENU, Fall 2012
Determine, with justication, the value(s) of k for which the following matrix is diagonalizable.
0 0 3
A = 3 k 3
1 0 2
Solution. The characteristic polyno
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Northwestern UniversityStudent ID:
Math 2902 Practice Midterm 1
Winter Quarter 2013
Math 2902 Practice Midterm 1
Winter Quarter 2013
Page 2 of 9
1. Determine whether each of the following stat