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MATH 46101** – Spring 2006 – Exam 1
JUSTIFY ALL ANSWERS and SHOW ALL WORK
CALCULATORS ARE NOT
ALLOWED
Answer each question on a separate sheet of paper. Use the back side if necessary. On each sheet, put
your name, your section leader’s name and your section meeting time. Put a BOX around your ﬁnal answer
to each part. No calculators allowed. You must be careful on arithmetic – check. No proof is needed for
TRUEFALSE questions; just write clearly. You may assume given matrix equations are well deﬁned (i.e.
the matrix sizes are compatible).
1. (15 pts) Find all solutions for the following system of equations:
x
1
+ 2
x
2
+ 2
x
3

x
4
= 2

x
1

2
x
2

2
x
3
+ 3
x
4
= 4
2
x
1
+ 4
x
2
+ 5
x
3

3
x
4
= 3
2. (a) (18 pts) For each of the following, answer TRUE or FALSE.
i. A 3
×
4 matrix has 3 columns.
ii. If
U
is an invertible matrix, then the equations
UAx
= 0 and
Ax
= 0 have the
same solution set.
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This note was uploaded on 04/05/2008 for the course MATH 493 taught by Professor Jake during the Spring '08 term at Maryland.
 Spring '08
 Jake
 Math

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