(d) {(x,y, z) | x + 3y – z = 1}
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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Please answer question (d) with all three bullet points. Please be clear in your steps and explanations.
Transcribed Image Text:Consider the following subsets of R³ and
• decide if they are vector subspaces
• if they are vector subspaces, find a basis
• if they are vector subspaces, find the dimension
(a) {(a, b, a – b) | a, b e R}
(b) {(a, a, a²) | a E R}
(c) {(x,y, z) | x + 3y – z = 0}
(d) {(x,y, z) | x + 3y – z = 1}
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