Q.1) Consider the matrix -2 0 03 2 -5 -3 -2 6 05 15 10 0 18 8 6 26 1 The nullspace of A: Find the nullity of A and the basis of the nullspace of A; •The row space of A: Find the dimension of the row space of A and find one basis of it; • The column space of A: Find the dimension of the column space of A and find one basis of it; • The nullspace of AT: Find the nullity of AT and the basis of the mullspace of A™.
Q.1) Consider the matrix -2 0 03 2 -5 -3 -2 6 05 15 10 0 18 8 6 26 1 The nullspace of A: Find the nullity of A and the basis of the nullspace of A; •The row space of A: Find the dimension of the row space of A and find one basis of it; • The column space of A: Find the dimension of the column space of A and find one basis of it; • The nullspace of AT: Find the nullity of AT and the basis of the mullspace of A™.
Linear Algebra: A Modern Introduction
4th Edition
ISBN:9781285463247
Author:David Poole
Publisher:David Poole
Chapter4: Eigenvalues And Eigenvectors
Section4.4: Similarity And Diagonalization
Problem 51EQ
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Transcribed Image Text:Q.1)
Consider the matrix
0 0 3
-26
15 100
18 8 6
1 -2
2-5 -3
0 5
26
• The nullspace of A: Find the nullity of A and the basis of the nullspace of A;
•The row space of A: Find the dimension of the row space of A and find one basis of it;
• The column space of A: Find the dimension of the column space of A and find one basis of it;
• The nullspace of AT: Find the nullity of AT and the basis of the mullspace of A™.
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