Math 205a,b - Linear Algebra Worksheet
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1MATH 205A,B - LINEAR ALGEBRA
FALL 2015
QUIZ 4
NAME:
Section:(Circle one)
A(8 : 00)
B(9 : 30)
Show ALL your work CAREFULLY.
2
2
Let T :
be a linear transformation defined by
T (x
, x
) = (3x
x
, 2x
x
).
1
2
1
2
1
2
(a) Find all vectors x such that T (x) = 0.
(b) Is T one to one? Explain.
(c) Find the matrix A of T so that T (x) = Ax.
1
(d) Is the matrix A invertible? If so, find A
.
Date: October 5, 2015.
1
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