University of Saskatchewan
Department of Mathematics and Statistics
Math 264 (01) Assignment #3
Due: October 15, 2010
Question 1.
consistent:
Under what conditions on b1 , b2 , b3 is the following system of linear equations
8
x1 + 2x2 3x3 = b1
3x1 x2 + 2x
University of Saskatchewan
Department of Mathematics and Statistics
Math 264 (01) Assignment #2
Due: October 8, 2010
Question 1. For
10
A=
2 5
1 3
,
1 4
1 2
B=
.
compute A1 , B 1 , and (AB)1 .
Question 2. For each of the following matrices, indicate wheth
University of Saskatchewan
Department of Mathematics and Statistics
Math 264 (01) Assignment #1
Due: October 1, 2010
Question 1. Use the method of back-substitution to solve the system of linear equations:
5
x1 + x2 + x3 3x4 + 2x5 = 10
x2 4x3 + 2x4 7x5 =
Chapter 2: Determinants
Determinants arise when one tries to solve
some linear systems
100 years ago they seemed more interesting
and more important than matrices
Determinants are now far from the centre of
linear algebra
But they still very useful in
Section 1.7 Diagonal, Triangular, and
Symmetric Matrices
Topics:
I. Diagonal Matrices
II. Triangular Matrices
III.Symmetric Matrices
1
I. Diagonal Matrices
Definition : A square matrix in which all the entries off
the main diagonal are zeros is called a d
University of Saskatchewan
Department of Mathematics and Statistics
Math 264 (01) Assignment #5
Due: November 19, 2010
Question 1. Let u = (1, 1, 1) and v = (2, 1, 2).
6
(a) Find the components of 2u 3v.
(b) Compute | 5v|
(c) Compute u v.
Question
2. Let
University of Saskatchewan
Department of Mathematics and Statistics
Math 264 (01) Assignment #4
Due: November 5, 2010
Question 1. Using cofactor expansion, find
1 7
2 5
1 1
0 0
the determinant of the matrix
2 0
5 0
.
1 0
0 2
15
Question 2. Find adj(A)
University of Saskatchewan
Department of Mathematics and Statistics
Math 264 (01) Assignment #6
Due: December 3, 2010
Question 1. Is the vector w = (1, 5, 5) in the span of the vectors v1 = (1, 2, 1), v2 =
(3, 6, 3), v3 = (3, 9, 3), v4 = (2, 5, 0)?
6
Ques
Department of Mathematics and Statistics
MATH 264.3 (01) 2010-2011 Term 1
Instructor:
Dr. Leslie Walter, 211 McLean Hall, ph: 966-6081, walter@math.usask.ca
Lecture:
MWF 12:30 - 1:20 Thorv 110
Office Hours:
By appointment
Text:
Howard Anton, Elementary Li
University of Saskatchewan
Department of Mathematics and Statistics
Math 264 (01)
October 18, 2010 Test #1 50 minutes
This is a format assessment. Cheating on on assessment is considered a serious offense by the University
and can be met with discipiina
Chapter 1: System of Linear
Equations and Matrices
Linear algebra origins from solving systems of
linear equations (LS).
We will learn how to solve LS by elimination.
To write LS in a short and compact way, we
introduce vectors and matrices.
We will c
Section 1.6 More on Linear Systems and Invertible Matrices
Topics:
I. More on Linear Systems
II. Invertible Matrices
1
I. More on Linear Systems
Theorem : A system of linear equations has zero, one, or
infinitely many solutions.There are no other possibil
Section 1.4:Inverse; Algebraic
Properties of Matrices
Topics:
I. Algebraic Properties of Matrices
II. Inverse of a Square Matrix
III.Powers of a Square Matrix
1
I. Algebraic Properties of Matrices
Properties of Matrix Arithmetic
Assuming that the sizes of