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COLLEGE ALGEBRA II (MATH 010)
SPRING 2015
HOMEWORK A4 (Due March 23)
ID:
Name:
1. Perform the indicated operation, if possible.

A=
2 −3
7 1


,B
=
−6 3
3 9


2A − 13 B
2. Perform the indicated operation, if possible.

A=
2 −3
7 1


,B
=
5 3 ,C = 
(a) AH (b) BC (c) BH (d) H 2
1
4
7

,H

=
11 −3 0
7 −2 3


3. Find A−1 , if it exists. If it does exist, verify that
AA−1 = I.

A=
−3 −6
2 3
2

,B

=
3 9
2 6


4. Find A−1 , if it exists. If it does exist, verify that
AA−1 = I.


1
−1
0




 −1
1
−1
C=


0 −1 1
3
5. Solve the system by converting to a matrix equation
and using the inverse of the coefficient matrix. (See
Problem 3)



−3x − 6y = 9
2x + 3y = 0
6. Solve the system by converting to a matrix equation
and using the inverse of the coefficient matrix (See
Problem 4).









x − y
= 2
−x + y − z = 4
− y + z = 2
4
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