University of Toronto at Scarborough
MATA33
Assignment 4
Winter 2008
Be receptive to discussion pertaining to this assignment in the 4th tutorial, which takes place during
the week of Feb. 4  8.
Remember:
there is a quiz on assignment 3 in the 4th tutorial.
Quiz 4 is based on this assignment 4 and the relevant text readings and lecture notes.
Quiz 4 will
be written in the 5th tutorial, which takes place during the week of Feb. 11  15.
Study:
Sections 6.6 on matrix inverse. Review sections 6.4 and 6.5 as necessary.
Problems:
1. Section 6.6, Pages 269  270 # 1, 2, 5  8, 13, 18  22, 27, 28, 31, 32, 35, 36, 39  42.
2. Section 6.8 Page 277 # 32.
3. Find the solution to the system of linear equations whose augmented matrix is
A
=
1 6 2

5

2

4
0 0 2

8

1
3
0 0 0
0
1
7
4. Does the the system of linear equations:
x
+ 3
y
+ 4
z
=
a

4
x
+ 2
y

6
z
=
b

3
x

2
y

7
z
=
c
have a solution for all possible values of a, b and c? Discuss.
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 Spring '11
 G
 Math, Linear Equations, Matrices, Invertible matrix, Computer & Mathematical Sciences, arbitrary natural number, relevant text readings

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