blem #5: Consider the matrices A = 2 0 7 6 -2 8 0 0 0 28 21 24 3 -4 -14 24 b = 18 18 3 Which of the following statements is true? (A) b is not in the column space of A and b is not in the nullspace of A (B) b is in both the column space of A and the nullspace of A (C) b in the null space of A, but not the column space of A (D) b is in the column space of A, but not the nullspace of A

Algebra for College Students
10th Edition
ISBN:9781285195780
Author:Jerome E. Kaufmann, Karen L. Schwitters
Publisher:Jerome E. Kaufmann, Karen L. Schwitters
Chapter11: Systems Of Equations
Section11.4: Determinants
Problem 53PS
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Problem #5: Consider the matrices
A =
2
-2
0
3
0
7
6
8
0
0
28
21 24
-4 -14 24
3
b =
-18
.9
18
7
3
Which of the following statements is true?
(A) b is not in the column space of A and b is not in the nullspace of A
(B) b is in both the column space of A and the nullspace of A
(C) b in the null space of A, but not the column space of A
(D) b is in the column space of A, but not the nullspace of A
Transcribed Image Text:Problem #5: Consider the matrices A = 2 -2 0 3 0 7 6 8 0 0 28 21 24 -4 -14 24 3 b = -18 .9 18 7 3 Which of the following statements is true? (A) b is not in the column space of A and b is not in the nullspace of A (B) b is in both the column space of A and the nullspace of A (C) b in the null space of A, but not the column space of A (D) b is in the column space of A, but not the nullspace of A
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