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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
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 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.
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}
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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