Math 205 A & B Quiz 02 - Bates College, 2015
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1Math 205 A & B
Quiz 02 ver01 page 1
01/30/2015
Name
3
6 6
24
u
1
5
10 3
1
1. Let A =
.
1A) Let u =
u
. Use the “super-augmented” matrix technique developed
2
7
14 1
17
u
3
in class to find any/all conditions on u
, u
, and u
that guarantee the matrix equation Ax = u is consistent. Show both the
1
2
3
super-augmented matrix you use and its RREF.
21
1B) Show that the vector v =
30
satisfies the condition(s) you found in (1A)
16
1C) Find all the solutions of Ax = v and express them in parametric vector form.
s
1
s
2
1D) What specific solution s =
do you get for Ax = v if you set all the free variables in (1C) to 10?
s
3
s
4
1E) Find As (do this product using your calculator and two of its matrices as shown in class) for the vector s in (1D).
What do you get for As?
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