Determine whether the set of vectors is a basis for the subspace of R^n that the vectors span. a. {[-1, 3, 1], [2, 1, 4]} in R^3 b. {[2, 1, -3], [4, 0, 2], (2, -1, 3]} in R^3?
Determine whether the set of vectors is a basis for the subspace of R^n that the vectors span. a. {[-1, 3, 1], [2, 1, 4]} in R^3 b. {[2, 1, -3], [4, 0, 2], (2, -1, 3]} in R^3?
Elementary Linear Algebra (MindTap Course List)
8th Edition
ISBN:9781305658004
Author:Ron Larson
Publisher:Ron Larson
Chapter5: Inner Product Spaces
Section5.CR: Review Exercises
Problem 47CR: Find an orthonormal basis for the subspace of Euclidean 3 space below. W={(x1,x2,x3):x1+x2+x3=0}
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Question
Determine whether the set of
a. {[-1, 3, 1], [2, 1, 4]} in R^3
b. {[2, 1, -3], [4, 0, 2], (2, -1, 3]} in R^3?
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