7. For the matrix: A = b. B Row B Rank (A)= -4 a. Find a basis for the row space of A and rank(A). 1 0 -2 130 (olumn =) 3-2 4 -2 -2 10 ONN Find a basis for the column space of A. (1,3,0), (0,2,-2), (-2,4,10), (0, -2,-2)} Klu.0), (0.0 11,0,0), (0,1,0), (-2-5,6),(0,1,0) REF 0-20 01-51 0 0 0 0 1
7. For the matrix: A = b. B Row B Rank (A)= -4 a. Find a basis for the row space of A and rank(A). 1 0 -2 130 (olumn =) 3-2 4 -2 -2 10 ONN Find a basis for the column space of A. (1,3,0), (0,2,-2), (-2,4,10), (0, -2,-2)} Klu.0), (0.0 11,0,0), (0,1,0), (-2-5,6),(0,1,0) REF 0-20 01-51 0 0 0 0 1
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter9: Systems Of Equations And Inequalities
Section9.8: Determinants
Problem 11E
Related questions
Question
![+1
+2
-1
a.
7. For the matrix: A =
B
Row
Rank (A) = 4
B
1
0
3 -2
0 -2 10
Find a basis for the row space of A and rank(A).
HI
-2
b. Find a basis for the column space of A.
(olumn =)
{(1,3,0), (0.-2,-2), (-2,9,10), (0, -2,-2)}
5; 6; 7; 9)
King₂.0), (0.
D), (0,1,0), (-2.-5,0), (0, 1,0)
REF
0
C
}
0-20
1-5 1
0 0 0
-3/2
ə
J
d
1
- 10/
2
-3](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Faea2220e-5b79-4f4c-ba0b-cd87c88bb3af%2F791f3aa1-ce0d-4558-8c54-2e2e900fda5e%2Ffoyd59p_processed.jpeg&w=3840&q=75)
Transcribed Image Text:+1
+2
-1
a.
7. For the matrix: A =
B
Row
Rank (A) = 4
B
1
0
3 -2
0 -2 10
Find a basis for the row space of A and rank(A).
HI
-2
b. Find a basis for the column space of A.
(olumn =)
{(1,3,0), (0.-2,-2), (-2,9,10), (0, -2,-2)}
5; 6; 7; 9)
King₂.0), (0.
D), (0,1,0), (-2.-5,0), (0, 1,0)
REF
0
C
}
0-20
1-5 1
0 0 0
-3/2
ə
J
d
1
- 10/
2
-3
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