Sophie Chrysostomou
Digitally signed by Sophie Chrysostomou DN: cn=Sophie Chrysostomou, o=UTSC, ou=Division of Computer and Mathematical Sciences, [email protected] utoronto.ca, c=CA Date: 2008.01.08 14:52:14 -05'00'
University of Toronto at Scarbo
University of Toronto at Scarborough
Department of Computer & Mathematical Sciences
MATA23
Assignment 4 (2 pages)
Summer 2016
Work on the course material and problems below. Tutorial Quiz 2 takes place in Week 5 (May
30 - June 3). It will cover: Question
University of Toronto at Scarborough
Department of Computer & Mathematical Sciences
MATA23
Assignment 3
Summer 2016
Study: Section 1.5 (mostly) and 1.6 are covered in this assignment. You should also read ahead
of the lectures more thoroughly in Section 1
MATA23 Quiz #5
Week 8
Name:
1
Student#:
More about Matrix! (10 points)
Given a matrix A such that
1
0
A=
3
2
3
2
11
5
0
4
4
3
1. Verify the rank equation.
2. Find a basis for the column space.
1
1 2
2 0
1 6
4 0
3. Find a basis for the row space.
4. Find a
MATA23 Last Quiz !
Week 12
Name:
1
Student#:
Cramers Rule (3 point)
Solve the given linear system by Cramers Rule.
x1 x2 + x3 = 0
x1 + 2x2 x3 = 1
x1 x2 + 2x3 = 0
2
Adjoint Matrix (3 points)
Find the adjoint matrix of the given matrix A, then use the adj(A
MATA23 Quiz #4
Week 6
Name:
1
Student#:
Matrix actions (2 points)
Find a matrix c such that
1
3
c
5
7
2
7
5
4
=
6 5
8
1
Hint: recall the row operation we discussed last time.
2
Matrix Inverse (6 points)
Find the inverse of the following matrix (if exist
MATA23 Quiz #3
Week 5
Name:
1
Student#:
Important Definitions (2 points)
1. Define row equivalent of two matrices A,B.
2. Given a square matrix A, what is the trace of A?
2
Gauss Jordan Method (4 points)
Find all solutions using Gauss Jordan Method. Note:
MATA23 Quiz #7
Week 10
Name:
1
Student#:
Understand a Linear Transformation (6 points)
Given a standard matrix representation of a linear transformation:
1 0
A=
0 1
1. Describe geometrically what does this linear transformation do? Also draw one or two
po
University of Toronto at Scarborough
Department of Computer & Mathematical Sciences
MATA23
Assignment 7
Summer 2016
Tutorial Quiz 4 is in Week 9 (July 4 - 8). You are responsible for knowing Assignment/Solution
6 (which deals with Section 2.3 and some of
University of Toronto at Scarborough
Department of Computer & Mathematical Sciences
MATA23
Assignment 5
Summer 2016
Study: Sections 2.1 and 2.2 are covered in this assignment.
Terminology and Concepts to Learn: (In Section 2.1) span and smallest subspace,
University of Toronto at Scarborough
Department of Computer & Mathematical Sciences
MAT A23S
Winter 2012
Term Test Info
Time:
Friday March 9th 7:00 PM - 9:00 PM
Location:
You write in the room:
SW128:
SW143
SW309:
SW319:
HW216:
HW215:
HW214:
If your last
MATA23
Solution 6
Solution 6
1) to 3) Read the lectures and the book to answer them.
4) Section 2.3
MATA23
Solution 6
T is one to one and onto
For 23) T is one to one and onto,
University of Toronto Scarborough
Department of Computer & Mathematical Sciences
FINAL EXAMINATION
MATA23H3 - Linear Algebra I
Examiner: E. Moore
K. Smith
Date: April 17, 2014
Duration: 3 hours
1. [10 points]
(a)
i. Define what it means for a subset W of
University of Toronto
Christopher Shim 2016
University of Toronto at Scarborough
University of Toronto
Department of Computer & Mathematical Science MATA23: Linear
Algebra Final Review
1. Vectors
(1) Formulas
Parallel Vectors: None
zero vectors
and
are
v
University of Toronto at Scarborough
Department of Computer & Mathematical Sciences
MATA23
Assignment 2
Summer 2016
Work on the course material and problems below.
Tutorial Quiz 1 is based on the text material in Sections 1.1 - 1.3, all of Assignment 1, a
University of Toronto at Scarborough
Department of Computer & Mathematical Sciences
MATA23
Assignment 8
Summer 2016
Tutorial Assignment 4 is in Week 10 (July 11 - 15). The material for that is all of Assignment/Solutions 7 and all of this Assignment 8/Sol
University of Toronto at Scarborough
Department of Computer & Mathematical Sciences
MATA23
Assignment 6
Summer 2016
Be prepared to ask questions about this Assignment 6 in your tutorial in Week 8 (June 27 - June
30). There is no tutorial quiz or assignmen
University of Toronto at Scarborough
Department of Computer & Mathematical Sciences
MATA23
Assignment 1
Summer 2016
Work on the course material and problems below.
Tutorial Quiz 1 is based on this assignment, the relevant text readings, and lecture notes.
University of Toronto at Scarborough
Department of Computer & Mathematical Sciences
MATA23
Assignment 9
Summer 2016
Study: Sections 5.1 and 5.2 are covered in this assignment.
Terminology and Concepts to Learn: (Section 5.1) eigenvalue, eigenvector, chara
University of Toronto at Scarborough
Department of Computer & Mathematical Sciences
MATA23
Assignment 10
Summer 2016
Study: Sections 5.1 and 5.2 are again covered in this assignment. See the two Notes below also.
Terminology and Concepts to Learn: (Sectio
MATA23 Quiz #2
Week 4
Name:
1
Student#:
Important Definitions (2 points)
1. Define the span of vectors.
2. Define the dot product of two vectors.
2
Vectors (6 points)
For the following 2 parts:let u=[1,4,2],v=[3,1,1].
1. Find |3u v|.
2. Find the angle bet
University of Toronto at Scarborough
Department of Computer & Mathematical Sciences
MAT A23
Summer 2015
Assignment #1
You are expected to work on this assignment prior to your tutorial in the
week of May 11th. You may ask questions about this assignment i
MATA23 Quiz #6
Week 9
Name:
1
Student#:
Verifying a Linear Transformation (3 points)
Is T([x1 , x2 ]) = [x1 x2 , x2 + 1, 3x3 5x2 ] a linear transformation of R2 R3 ? Why or why
not ?
2
The Linear Transformed Vector (3 points)
If T([-1,0])=[1,2,3] and T([0
University of Toronto Scarborough
Department of Computer & Mathematical Sciences
MAT A23
Summer 2015
Final Assignment
You are expected to work on this assignment prior to your tutorial in the
week of July 27th. You may ask questions about this assignment
University of Toronto at Scarborough
Department of Computer & Mathematical Sciences
MAT A23
Summer 2015
Assignment #9
You are expected to work on this assignment prior to your tutorial during
the week of July 13th-17th. You may ask questions about this as
University of Toronto at Scarborough
Department of Computer & Mathematical Sciences
MATA23
Assignment 7
Summer 2015
Study: Sections 2.1 and 2.2 are covered in this assignment. Read ahead in Sections 2.3 and 4.1.
See the Notes below too.
Problems:
1. Secti
University of Toronto at Scarborough
Department of Computer & Mathematical Sciences
MATA23
Assignment 8
Summer 2015
Study: Sections 2.3 for this assignment. Read ahead in Sections 4.1 and 4.2 (cross product and
determinants).
Problems:
1. Section 2.3, Pag
University of Toronto Scarborough
Department of Computer & Mathematical Sciences
FINAL EXAMINATION
MATA23H3 - Linear Algebra I
Examiner: E. Moore
Date: April 10, 2015
Start Time: 9:00AM
Duration: 3 hours
1. [10 points]
(a) Carefully state the definition o