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Practice Test 4
Name:
Math 2602
Spring 2006
(1) The following matrix is in the form
[
A

~
b
]
. How many solutions are there to the
equation
A~x
=
~
b
? Give a brief explaination of how you know.
6 3 2 1
4
0 5 4 2
3
0 4 4 5
1
0 9 8 7
4
(2) Find the inverse for the following matrix:
3 6
6
0 2
2
3 8 12
(3) Fill in the last line of the following matrix
[
A

~
b
]
so that
A~x
=
~
b
has no solutions:
6 3 2 1
4
0 5 4 2
3
0 0 4 5

2
1
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View Full Document (4) Cousin Henry wants to sell furniture.
•
He needs 3 pieces of wood and 2 cushions to make a chair
•
He needs 5 pieces of wood and 3 cushions to make a bench
•
He only has room to store 20 cushions
•
Wood costs 10 per piece, and cusions cost 5 each.
•
He has 250 dollars to buy initial supplies
•
He earns 50 dollars for each chair and 80 dollars for each bench
Use the notation
x
b
=number of benches and
x
c
=number of chairs.
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This note was uploaded on 11/08/2009 for the course MATH 2602 taught by Professor Costello during the Spring '09 term at Georgia Institute of Technology.
 Spring '09
 COSTELLO
 Math

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