4. Let A = -3 0 6 -10 -5 and define T: R³ → R² by T(x) = Ax. (a) Find the images under T of u = [3] and v= (b) Determine if c = (c) Determine if the transformation is one-to-one. 8 is in the range of the transformation T.

Linear Algebra: A Modern Introduction
4th Edition
ISBN:9781285463247
Author:David Poole
Publisher:David Poole
Chapter6: Vector Spaces
Section: Chapter Questions
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4.
Let A =
-3 0 6
-1 0-5'
(b) Determine if c =
(c) Determine if the
and define T: R³ → R² by T(x) = Ax.
(a) Find the images under T of u =
[³3]
and v=
8
is in the range of the transformation T.
transformation is one-to-one.
Transcribed Image Text:4. Let A = -3 0 6 -1 0-5' (b) Determine if c = (c) Determine if the and define T: R³ → R² by T(x) = Ax. (a) Find the images under T of u = [³3] and v= 8 is in the range of the transformation T. transformation is one-to-one.
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