[-21 15 19 -21 12 -14 B = -13 10 -6 -15 11 -4 (a) Find the reduced row echelon form of the matrix B. rref(B) = (b) How many pivot columns does B have? -21 15 -21 12 -14 (c) Do the vectors in the set span R*? Be sure you can explain and justify your answer. -13 10 -15 11 -4 choose -21] 15 -9 -21 12 (d) Are the vectors in the set linearly independent? Be sure you can explain and justify your answer. -13 10 -6 -15 choose
[-21 15 19 -21 12 -14 B = -13 10 -6 -15 11 -4 (a) Find the reduced row echelon form of the matrix B. rref(B) = (b) How many pivot columns does B have? -21 15 -21 12 -14 (c) Do the vectors in the set span R*? Be sure you can explain and justify your answer. -13 10 -15 11 -4 choose -21] 15 -9 -21 12 (d) Are the vectors in the set linearly independent? Be sure you can explain and justify your answer. -13 10 -6 -15 choose
Linear Algebra: A Modern Introduction
4th Edition
ISBN:9781285463247
Author:David Poole
Publisher:David Poole
Chapter7: Distance And Approximation
Section7.1: Inner Product Spaces
Problem 10AEXP
Related questions
Question
![Let
-21
15
19
-21
12
-14
B =
-13
10
-6
-15
11
-4
(a) Find the reduced row echelon form of the matrix B.
rref(B) =
(b) How many pivot columns does B have?
-21
15
-21
12
(c) Do the vectors in the set
span R*? Be sure you can explain and justify your answer.
-13
10
-15
11
-4
choose
-21]
15
-9
-21
12
-14
(d) Are the vectors in the set
linearly independent? Be sure you can explain and justify your answer.
-13
10
-6
-15
-4
choose](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F20d771bb-b6ba-4860-8bfb-deb9d434c4df%2F2be549fb-dfee-465d-b5cc-849e18c5f47a%2Fvkg1zob_processed.jpeg&w=3840&q=75)
Transcribed Image Text:Let
-21
15
19
-21
12
-14
B =
-13
10
-6
-15
11
-4
(a) Find the reduced row echelon form of the matrix B.
rref(B) =
(b) How many pivot columns does B have?
-21
15
-21
12
(c) Do the vectors in the set
span R*? Be sure you can explain and justify your answer.
-13
10
-15
11
-4
choose
-21]
15
-9
-21
12
-14
(d) Are the vectors in the set
linearly independent? Be sure you can explain and justify your answer.
-13
10
-6
-15
-4
choose
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