1. Consider the following set of vectors in R³: #1 = , F₂ = , 3 = (a) Are 1, 2, and 23 linearly independent? Justify your answer. (b) Let U = span{1, 22, 23). Find a basis of U. (c) What is dim(U)? Justify your answer.
1. Consider the following set of vectors in R³: #1 = , F₂ = , 3 = (a) Are 1, 2, and 23 linearly independent? Justify your answer. (b) Let U = span{1, 22, 23). Find a basis of U. (c) What is dim(U)? Justify your answer.
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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Quiz 2 a
Transcribed Image Text:1. Consider the following set of vectors in R³:
----0--
2
(a) Are 1, 2, and 23 linearly independent? Justify your answer.
=
3 =
(b) Let U = span{21, 22, 23). Find a basis of U.
(c) What is dim(U)? Justify your answer.
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