-1 −3 −7 −2 304 -5-4 1 -4 -3 3 32 22 -2 -1 -3-7-2 1 0 -5 -4 1 4. Consider A = = with a corresponding A = = 3 4 1 -4-3 3 4 3 32 22 -2 -4 • State a basis for the column space of A. • Choose one of the columns from A not selected as part of the basis and show how it is a linear combination of your basis. 5. Using the same matrix A as in the previous problem: • State a basis for the null space (kernel) of A. • Give an example of a nonzero vector in the null space that is not one of your basis vectors.
-1 −3 −7 −2 304 -5-4 1 -4 -3 3 32 22 -2 -1 -3-7-2 1 0 -5 -4 1 4. Consider A = = with a corresponding A = = 3 4 1 -4-3 3 4 3 32 22 -2 -4 • State a basis for the column space of A. • Choose one of the columns from A not selected as part of the basis and show how it is a linear combination of your basis. 5. Using the same matrix A as in the previous problem: • State a basis for the null space (kernel) of A. • Give an example of a nonzero vector in the null space that is not one of your basis vectors.
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter8: Applications Of Trigonometry
Section8.4: The Dot Product
Problem 45E
Related questions
Question
![-1 −3 −7 −2
304
-5-4
1 -4 -3
3 32 22 -2
-1
-3-7-2
1
0 -5 -4
1
4. Consider A =
=
with a corresponding A =
=
3
4 1
-4-3
3
4
3
32 22 -2
-4
• State a basis for the column space of A.
• Choose one of the columns from A not selected as part of the basis and show how it is a
linear combination of your basis.
5. Using the same matrix A as in the previous problem:
• State a basis for the null space (kernel) of A.
• Give an example of a nonzero vector in the null space that is not one of your basis
vectors.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fac048e26-edc8-46ba-8829-c16c07a7a6b4%2F5b4ddf49-aa52-448d-9dfd-bd02db3ced6b%2Fhh1gs9r_processed.png&w=3840&q=75)
Transcribed Image Text:-1 −3 −7 −2
304
-5-4
1 -4 -3
3 32 22 -2
-1
-3-7-2
1
0 -5 -4
1
4. Consider A =
=
with a corresponding A =
=
3
4 1
-4-3
3
4
3
32 22 -2
-4
• State a basis for the column space of A.
• Choose one of the columns from A not selected as part of the basis and show how it is a
linear combination of your basis.
5. Using the same matrix A as in the previous problem:
• State a basis for the null space (kernel) of A.
• Give an example of a nonzero vector in the null space that is not one of your basis
vectors.
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