Question 1 1 -2 1 -1 1 2 -1 Let A = and assume that 1 2 -1 0 -1 -2 1 100 0 1 1-1 0 0 0 0 0 0 1 1 -1 2 -2 -2 1 B = is row equivalent to the matrix C = 1 2 -1 -1 -1 1 Use the above to answer the following questions. 7.1 Find a basis for the nullspace of A. 7.2 Find a basis for the column space of A. 7.3 Find the rank and nullity of A.

Elementary Linear Algebra (MindTap Course List)
8th Edition
ISBN:9781305658004
Author:Ron Larson
Publisher:Ron Larson
Chapter7: Eigenvalues And Eigenvectors
Section7.1: Eigenvalues And Eigenvectors
Problem 80E
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Question 1
1
-2
1 -1
1
2 -1
Let A =
and assume that
1
2 -1
-1
-2
1
1
100
1 -1
is row equivalent to the matrix C =
0 1 1 -1
0 0 0
0 0 0
-2
1
B =
1
2
2 -2
1
-1
1
Use the above to answer the following questions.
7.1 Find a basis for the nullspace of A.
7.2 Find a basis for the column space of A.
7.3 Find the rank and nullity of A.
Transcribed Image Text:Question 1 1 -2 1 -1 1 2 -1 Let A = and assume that 1 2 -1 -1 -2 1 1 100 1 -1 is row equivalent to the matrix C = 0 1 1 -1 0 0 0 0 0 0 -2 1 B = 1 2 2 -2 1 -1 1 Use the above to answer the following questions. 7.1 Find a basis for the nullspace of A. 7.2 Find a basis for the column space of A. 7.3 Find the rank and nullity of A.
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