University of Toronto Mississauga
MAT224 Test 2
July 27, 2016
No Aids Allowed
Duration: 80 minutes
Instructor: P. Eskandari
Solutions
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This test has 12 pages, including this front page. The test is out

MAT224 Linear Algebra II
More Practice Problems
1. Exercises 2(d,e,6), 3c of 6.2
2. Example 9 of 6.4.
3. Why is the following statement true?
Given polynomials f1 (x), , fn+2 (x) of degree n, there are r1 , , rn+2 R such that
r1 f1 (x) + r2 f2 (x) + + rn+

Mat224: Linear Algebra II
Due 9 November 2016
Assigment 4 of 6
This assignment is based on material from Chapters 8.5, 8.6, and 9.1 of the textbook.
1 3
1
1. Consider the matrix A =
. Start with X0 =
, and using the power method, compute
0 2
1
X4 and r3

Mat224: Linear Algebra II
Due 21 September 2016
Assigment 1 of 6
1. Show that the following are vector spaces over the specified fields.
(a) Rn over R
(b) R over Q
(c) The set Mm,n (R) of all m-by-n real matrices, over R
(d) cfw_(x, y) R2 |x + y = 0 over

Mat224: Linear Algebra II
Due 26 October 2016
Assigment 3 of 6
This assignment is based on material from Chapters 8.1, 8.2 and 8.3 of the textbook. Note that
8.1 was covered in MAT 223 and so it is assumed that you are familiar with the material even
thou