UW Common Math 308 Section 3.1 - CHING FUNG CHUI Math 308,...

Current Score :
47 / 48 Due : Wednesday, November 11 2015 09:30 AM PST
1. 2/2 points | Previous Answers HoltLinAlg1 3.1.004.
Let for the given matrix A , and find for the given u
1
and
57
-6
-10
[57;-6;-10]
9
-18
-16
[9;-18;-16]
T ( x ) = A x T ( u
1
) and T ( u
2
A = , u
1
= , u
− 3 5 − 3
0 − 2 − 3
0 − 2 − 2
0
9
− 4
5
6
2
T ( u
1
) =
T ( u
2
) =
u
2
.
UW Common Math 308 Section 3.1 (Homework)
CHING FUNG CHUI
Math 308, section A, Fall 2015
Instructor: Hon Leung Lee TA
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)
2
=
2
= =
2. 1/1 points | Previous Answers HoltLinAlg1 3.1.007.
Determine if the given vector is in the range of where T ( x ) = A x
A =
1 − 4 0
5 4 1
y =
4
9
y is in the range of T
y is not in the range of T
T .
,
.
.
.
,
2

3. 1/1 points | Previous Answers HoltLinAlg1 3.1.010.
Suppose that a linear transformation T satisfies
Find
13
-5
-18
[13;-5;-18]
T ( u
1
) = , T ( u
2
) =
5
− 1
− 2
1
1
6
T ( 3 u
1
− 2 u
2
).
T ( 3 u
1
− 2 u
2
) =
.
2 =
4. 5/5 points | Previous Answers HoltLinAlg1 3.1.013.
Determine if the given function is a linear transformation.
2
)
If so, identify the matrix A such that (If the function is not a linear transformation, enter DNE into any cell.) .
If not, explain why not.
Solution or Explanation
Linear transformation, with
d ).
d ).
, c ).
, c ).
− 4 6