(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 choose (900) 15 choose 18 {} (d) Are the vectors in the set E 7 span R¹7 Be sure you can explain and justify your answer. linearly independent? Be sure you can explain and justify your answer.

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
(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
choose
18
{E HE]}
14
15
choose
(d) Are the vectors in the set
18
5
(6
15
B=
18
5
7
0
-14 -2
15
-2
-6
8
span R¹7 Be sure you can explain and justify your answer.
linearly independent? Be sure you can explain and justify your answer.
Transcribed Image Text:Let (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 choose 18 {E HE]} 14 15 choose (d) Are the vectors in the set 18 5 (6 15 B= 18 5 7 0 -14 -2 15 -2 -6 8 span R¹7 Be sure you can explain and justify your answer. linearly independent? Be sure you can explain and justify your answer.
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