Find a basis for the subspace of R³ spanned by S. S = {(5, 9, 9), (1, 3, 3), (1, 1, 1)} STEP 1: Find the reduced row-echelon form of the matrix whose rows are the vectors in S. ↓ 1 X STEP 2: Determine a basis that spans S. X ↓ ↑

Linear Algebra: A Modern Introduction
4th Edition
ISBN:9781285463247
Author:David Poole
Publisher:David Poole
Chapter3: Matrices
Section3.5: Subspaces, Basis, Dimension, And Rank
Problem 45EQ
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Find a basis for the subspace of R³ spanned by S.
S = {(5, 9, 9), (1, 3, 3), (1, 1, 1)}
STEP 1: Find the reduced row-echelon form of the matrix whose rows are the vectors in S.
X
STEP 2: Determine a basis that spans S.
Transcribed Image Text:Find a basis for the subspace of R³ spanned by S. S = {(5, 9, 9), (1, 3, 3), (1, 1, 1)} STEP 1: Find the reduced row-echelon form of the matrix whose rows are the vectors in S. X STEP 2: Determine a basis that spans S.
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