4 Let A = 2 -3 −1 1 -1 −1 9 1 02 (a) Find bases for the row and column spaces of A. Identify the rank of A. (b) Find a basis for the null space of A. What is the nullity of A? (c) Explain why the rows of A are linearly dependent. (d) Does the vector 2 belong to the column space of A? Justify your answer.
4 Let A = 2 -3 −1 1 -1 −1 9 1 02 (a) Find bases for the row and column spaces of A. Identify the rank of A. (b) Find a basis for the null space of A. What is the nullity of A? (c) Explain why the rows of A are linearly dependent. (d) Does the vector 2 belong to the column space of A? Justify your answer.
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter8: Applications Of Trigonometry
Section8.3: Vectors
Problem 14E
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