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Let -1 -4 B = 2 7 2 -2 9. (a) Find the reduced row echelon form of the matrix B. ref(B) = (b) How many pivot columns does B have? (c) Do the vectors in the set span R? Be sure you can explain and justify your answer. 2 9 choose (d) Are the vectors in the set linearly independent? Be sure you can explain and justify your answer. 9 choose

Let -1 -4 B = 2 7 2 -2 9. (a) Find the reduced row echelon form of the matrix B. ref(B) = (b) How many pivot columns does B have? (c) Do the vectors in the set span R? Be sure you can explain and justify your answer. 2 9 choose (d) Are the vectors in the set linearly independent? Be sure you can explain and justify your answer. 9 choose

Linear Algebra: A Modern Introduction
Linear Algebra: A Modern Introduction
4th Edition
ISBN:9781285463247
Author:David Poole
Publisher:David Poole
Chapter2: Systems Of Linear Equations
Section2.3: Spanning Sets And Linear Independence
Problem 42EQ
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Let -1 -4 B = 7 -2 6. (a) Find the reduced row echelon form of the matrix B. rref(B) = (b) How many pivot columns does B have? (c) Do the vectors in the set span R? Be sure you can explain and justify your answer. 2 7 choose (d) Are the vectors in the set linearly independent? Be sure you can explain and justify your answer. choose
Transcribed Image Text:Let -1 -4 B = 7 -2 6. (a) Find the reduced row echelon form of the matrix B. rref(B) = (b) How many pivot columns does B have? (c) Do the vectors in the set span R? Be sure you can explain and justify your answer. 2 7 choose (d) Are the vectors in the set linearly independent? Be sure you can explain and justify your answer. choose
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