Equation Worksheet - Math 205ab
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1Quiz 01 page 1
09/14/2012
Math 205AB
Name
NOTE: If you use the RREF of a matrix to answer any question, be sure to write that matrix down as part of your
answer! Use “vector hats”, and the word “free” where appropriate.
0
2
0
4
4
11
2
1. Let A =
2
3
19
13
, b =
3
, and z =
.
1
3
2
16
12
11
0
1A) Is b in the span of the set of column vectors of A? Explain!
1B) Find the vector Az.
3
1C) Is the span of the set of column vectors of A equal to R
? Explain!
2. Use the methods and notation developed in class to solve this system of equations:
2x
+ 4x
4x
= 8
1
3
4
2x
3x
19x
+ 13x
= 1
1
2
3
4
3x
+ 2x
+ 16x
12x
= 6
1
2
3
4
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