1 -B 1 Consider the following subsets of R³. Determine if they re subspaces or not. Support your answers with proof and justification. et A and B denote 3 x 3 matrices and let v = 1) U = { € R³: A²x = ABx} . ») T = {ã € R³ : ¬ × ã = 0}. {[E] <* -) S = : -y ≤ x : . This is a cone in R³.
1 -B 1 Consider the following subsets of R³. Determine if they re subspaces or not. Support your answers with proof and justification. et A and B denote 3 x 3 matrices and let v = 1) U = { € R³: A²x = ABx} . ») T = {ã € R³ : ¬ × ã = 0}. {[E] <* -) S = : -y ≤ x : . This is a cone in R³.
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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Transcribed Image Text:A
are subspaces or not. Support your answers with proof and justification.
Let A and B denote 3 x 3 matrices and let v =
(a) U = {x € R³ : A²π = ABx} .
E
* € R³: v × x = 0}
(b) T=
(c) S =
(1)
su}.
€ R³: -y ≤ x ≤y
Consider the following subsets of R³. Determine if they
This is a cone in R³.
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