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. STEP 2: Determine a basis that spans S.

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter9: Systems Of Equations And Inequalities
Section9.6: The Algebra Of Matrices
Problem 13E
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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.
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. STEP 2: Determine a basis that spans S.
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