-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
Chapter9: Systems Of Equations And Inequalities
Section9.7: The Inverse Of A Matrix
Problem 29E
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