-4 3 1 2. Let A = and define T(x) = T₁(x) = Ax. -2 2 5 -1 (a) Find T(x), the image of x = [] under the transformation T. 6 (b) Determine if c = [2¹] is in the range of the transformation T. (c) Find an x in R4 whose image under T is b = [²]. Is there more than one x whose image under T is b = = [²]? (d) Find all x in R4 that are mapped into the zero vector by the tranformation T.

Big Ideas Math A Bridge To Success Algebra 1: Student Edition 2015
1st Edition
ISBN:9781680331141
Author:HOUGHTON MIFFLIN HARCOURT
Publisher:HOUGHTON MIFFLIN HARCOURT
Chapter3: Graphing Linear Functions
Section3.7: Graphing Absolute Value Functions
Problem 26E
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1
-4 3 1
2. Let A
-6
=
0
-2 2 4
(a) Find T(x), the image of x =
under the transformation T.
(b) Determine if c
=
[2¹] is in the range of the transformation T.
(c) Find an x in R4 whose image under T is b = [²].
Is there more than one x whose image under T is b =
[²]?
(d) Find all x in R4 that are mapped into the zero vector by the tranformation T.
and define T(x) = T₁(x) = Ax.
Transcribed Image Text:1 -4 3 1 2. Let A -6 = 0 -2 2 4 (a) Find T(x), the image of x = under the transformation T. (b) Determine if c = [2¹] is in the range of the transformation T. (c) Find an x in R4 whose image under T is b = [²]. Is there more than one x whose image under T is b = [²]? (d) Find all x in R4 that are mapped into the zero vector by the tranformation T. and define T(x) = T₁(x) = Ax.
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