ASSIGNMENT #3
DUE DATE: This assignment is to be submitted entirely on
paper on Wednesday May 28th by 7pm in your TAs drop
box located on the 4th floor of the UA building. Hand in one
copy per pair.
ASSIGNMENT (12 marks total) To be done by hand :
Read se

OBJECTIVES:
a Section 4.1 By the end of this section, you will be able:
to use the vector space axioms to determine whether or not any given set of objects (with a
rule for vector addition and scalar multiplication) constitutes a vector space
to state

OBJECTIVES:
Section 5.1 By the end of this section, you will be able:
to write down the equation that denes the eigenvalues and eigenvectors of a matrix
to state that if x is an eigenvector of a matrix A with a real eigenvalue t, then the vector Ax
is

OBJECTIVES:
0 Section 1.1. By the end of this section, you will be able:
— to identify a linear equation, or a system of linear equations
— to state what is meant by a "solution" or a "solution set" of a system of equations
— to identify when a system of

OBJECTIVES:
0 Section 1.3 By the end of this section, you will be able:
— to determine the size of a matrix
— to determine whether two matrices are equal
— to write down examples of column vectors and row vectors
— to determine from the sizes of the matri

OBJECTIVES:
0 Section 4.7 By the end of this section, you will be able:
— to list the row vectors and column vectors of a matrix
— to express the product Ax as a linear combination of the columns
— to determine whether or not a vector, b, is in the column

OBJ ECTIVES:
0 Sections 4.9—4.10 (sections 1.8 and 4.9—4.10 in 11th edition) By the end of these sections, you
will be able:
— to ﬁnd the domain and codomain of a transformation that is deﬁned in terms of equations
— to determine whether or not a transfor

OBJECTIVES:
a Section 2.2 By the end of this section, you will be able:
to determine the determinant of a matrix (of any size) with a row of zeros or a column of
zeros.
to determine the determinant of a matrix (of any size) given the determinant of i

ASSIGNMENT #4
DUE DATE: This assignment is to be submitted entirely on
paper on Wednesday June 4th by 7pm in your TAs drop box
located on the 4th floor of the UA building. Hand in one
copy per pair.
ASSIGNMENT (25 marks total):
[NOTE: The assignment is to

ASSIGNMENT #2
DUE DATE: This assignment is to be submitted entirely on
paper on Wednesday May 21st by 7pm in your TAs drop
box located on the 4th floor of the UA building. Hand in one
copy per pair.
ASSIGNMENT (28 marks total) To be done by hand (except f

Assignment #1
DUE DATE: This assignment is to be submitted entirely on
paper on Wednesday May 14th by 7pm in your TAs drop
box located on the 4th floor of the UA building (near the
science main office). Hand in one copy per pair.
ASSIGNMENT (25 marks tota

Assignment #5
DUE DATE: This assignment is to be submitted entirely on
paper on Wednesday June 11th by 7pm in your TAs drop
box located on the 4th floor of the UA building. Hand in one
copy per pair.
ASSIGNMENT (28 marks total): To be done by hand except

Assignment #6 (last one!)
DUE DATE: This assignment is to be submitted entirely on
paper on Wednesday June 18th by 7pm in your TAs drop
box located on the 4th floor of the UA building. Hand in one
copy per pair.
ASSIGNMENT (22 marks total): To be done by

OBJECTIVES:
a Section 1.6 By the end of this section, you will be able:
to state that if the coefcient matrix of a system of linear equations is invertible then the
system of equations has exactly one solution
to compute the one solution of a system

OBJECTIVES:
a Section 1.4 By the end of this section, you will be able:
to state that the law of commutation for matrix multiplication does not hold, and to state the
three ways in which it might fail
to know the ways in which matrix arithmetic is si