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(a) Find a basis for the nullspace of A. Make sure you justify that it is a basis. (b) Find a basis for the column space/range space of A. Make sure you justify that it is a basis. (c) What is the nullity of A? (d) What is the rank of A?

(a) Find a basis for the nullspace of A. Make sure you justify that it is a basis. (b) Find a basis for the column space/range space of A. Make sure you justify that it is a basis. (c) What is the nullity of A? (d) What is the rank of A?

Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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(a) Find a basis for the nullspace of A. Make sure you justify that it is a basis. (b) Find a basis for the column space/range space of A. Make sure you justify that it is a basis. (c) What is the nullity of A? (d) What is the rank of A?
Transcribed Image Text:(a) Find a basis for the nullspace of A. Make sure you justify that it is a basis. (b) Find a basis for the column space/range space of A. Make sure you justify that it is a basis. (c) What is the nullity of A? (d) What is the rank of A?
matrix A = 1 -3 2 -2 1 6 -4 1 with echelon form: 1 0 0 -2 0 0 1 0 0
Transcribed Image Text:matrix A = 1 -3 2 -2 1 6 -4 1 with echelon form: 1 0 0 -2 0 0 1 0 0
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