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Consider the matrix 2 1 1 2 2 1 2 A := -1 4 2 0 1 (a) Find a basis of the null space of A, Nul A. (b) Find a basis of the column space of A, Col A. (c) Give an example of a subset of Nul A which is not a subspace of Nul A. (d) it is different from Nul A itself. Give an example of a subset of Nul A which is a subspace of Nul A and

Consider the matrix 2 1 1 2 2 1 2 A := -1 4 2 0 1 (a) Find a basis of the null space of A, Nul A. (b) Find a basis of the column space of A, Col A. (c) Give an example of a subset of Nul A which is not a subspace of Nul A. (d) it is different from Nul A itself. Give an example of a subset of Nul A which is a subspace of Nul A and

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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Consider the matrix 2 1 1 2 2 1 -1 4 2 0 2 A := 1 (a) Find a basis of the null space of A, Nul A. (b) Find a basis of the column space of A, Col A. (c) Give an example of a subset of Nul A which is not a subspace of Nul A. (d) Give an example of a subset of Nul A which is a subspace of Nul A and it is different from Nul A itself.
Transcribed Image Text:Consider the matrix 2 1 1 2 2 1 -1 4 2 0 2 A := 1 (a) Find a basis of the null space of A, Nul A. (b) Find a basis of the column space of A, Col A. (c) Give an example of a subset of Nul A which is not a subspace of Nul A. (d) Give an example of a subset of Nul A which is a subspace of Nul A and it is different from Nul A itself.
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