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Math 20F  Linear Algebra  Spring 2003
Quiz #1 — April 10 — ANSWERS
(Do not the discuss quiz with students who haven’t taken it yet – until 8:00pm.)
You must show your work in order to get credit for a problem. Label your answers clearly.
Consider the following system of linear equations:
x
1
+2
x
2
+3
x
3
+4
x
4
=3
2
x
1
x
2
+8
x
3
+6
x
4
=8
x
3

x
4
=1
a.
Express this system of linear equations as an augmented matrix.
b.
Put it into reduced row echelon form (RREF).
c.
Which variables are free variables? Which variables are lead variables?
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 Spring '03
 BUSS
 Linear Algebra, Algebra, Linear Equations, Gaussian Elimination, Row echelon form

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