9. Let A = 132 -4 253-2 (a) Find a spanning set for Nul A. (b) Find Col A. (c) If T is the linear transformation defined by T(x) = Ax, find its domain, codomain, range, and kernel of T.
9. Let A = 132 -4 253-2 (a) Find a spanning set for Nul A. (b) Find Col A. (c) If T is the linear transformation defined by T(x) = Ax, find its domain, codomain, range, and kernel of T.
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Question
Question and answer are given, please explain how part c of this problem is obtained.
![9. Let A =
132 -4
253 -2
(a) Find a spanning set for Nul A.
(b) Find Col A.
(c) If T' is the linear transformation defined by T(x) = Ax, find its domain, codomain, range,
and kernel of T.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fe4e30976-a04d-4ff9-953d-0f293725c591%2Fc2d526b3-2dc5-4043-a048-53f92015c2a8%2Forembaa_processed.jpeg&w=3840&q=75)
Transcribed Image Text:9. Let A =
132 -4
253 -2
(a) Find a spanning set for Nul A.
(b) Find Col A.
(c) If T' is the linear transformation defined by T(x) = Ax, find its domain, codomain, range,
and kernel of T.
![9. (a) spanning set
=
-14
0
= {V₁, V₂}
(c) domain: R4; codomain: R2; range: R2; kernel of T
=
(b) R²
Span {V₁, V₂}](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fe4e30976-a04d-4ff9-953d-0f293725c591%2Fc2d526b3-2dc5-4043-a048-53f92015c2a8%2F26r02yg_processed.jpeg&w=3840&q=75)
Transcribed Image Text:9. (a) spanning set
=
-14
0
= {V₁, V₂}
(c) domain: R4; codomain: R2; range: R2; kernel of T
=
(b) R²
Span {V₁, V₂}
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