B = rref (B) = -3 -11 2 3 -1 -2 -4 2 (a) Find the reduced row echelon form of the matrix B (b) How many pivot columns does B have? (c) Do the vectors in the set -11 2 [CH]} you can explain and justify your answer. choose (d) Are the vectors in the set -11 OOB -3 independent? Be sure you can explain and justify your answer. choose 2 span R³ ? Be sure -2 linearly 2 û

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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Question
-3 -11 2
-1 -2
3
-3 -4 2
(a) Find the reduced row echelon form of the matrix B
rref (B) =
(b) How many pivot columns does B have?
B =
(c) Do the vectors in the set
-11
QEB}
you can explain and justify your answer.
choose
answer.
choose
2
(d) Are the vectors in the set
(EG)}
independent? Be sure you can explain and justify your
2
2
span R³ ? Be sure
✪
linearly
Transcribed Image Text:-3 -11 2 -1 -2 3 -3 -4 2 (a) Find the reduced row echelon form of the matrix B rref (B) = (b) How many pivot columns does B have? B = (c) Do the vectors in the set -11 QEB} you can explain and justify your answer. choose answer. choose 2 (d) Are the vectors in the set (EG)} independent? Be sure you can explain and justify your 2 2 span R³ ? Be sure ✪ linearly
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