Math 205 A,b Quiz 4 - Linear Algebra Worksheet - 2013
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1MATH 205A,B - LINEAR ALGEBRA
WINTER 2013
QUIZ 4
NAME:
Section:(Circle one)
A(1 : 10)
B(2 : 40)
Show ALL your work CAREFULLY.
3
2
Let T :
be a linear transformation defined by
T (x
, x
, x
) = (2x
3x
+ x
, 4x
x
).
1
2
3
1
2
3
3
1
(a) Find the standard matrix A of T so that T (x) = Ax.
(b) Find all vectors x such that T (x) = 0.
(c) Is T one to one? Explain.
Date: February 1, 2013.
1
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