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 ↓ ↑
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 ↓ ↑
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: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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