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If some column of m:1trix A is a pivot column. then the

Elementary Linear Algebra: A Matrix Approach | 2nd Edition | ISBN: 9780131871410 | Authors: Lawrence E. Spence ISBN: 9780131871410 187

Solution for problem 66 Chapter 1.4

Elementary Linear Algebra: A Matrix Approach | 2nd Edition

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Elementary Linear Algebra: A Matrix Approach | 2nd Edition | ISBN: 9780131871410 | Authors: Lawrence E. Spence

Elementary Linear Algebra: A Matrix Approach | 2nd Edition

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Problem 66

If some column of m:1trix A is a pivot column. then the corresponding column in the reduced row echelon form of A is a ;tandurd vector.

Step-by-Step Solution:
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M303 Section 4.2 Notes- Null Spaces, Column Spaces, and Linear Maps 10-28-16  Matrices and linear maps give many examples of subspaces  Null space of × matrix - denoted ; set of solutions to homogeneous equation = , notated = ℝ : = } o Set of all ℝ mapped into zero vector of ℝ via linear transformation = o Finding means solving = ; parametric vector form of solution gives spanning set to explicitly describe null space 1 −3 −2 o Ex. Let [ ]. Is = 5,3,2 in

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Chapter 1.4, Problem 66 is Solved
Step 3 of 3

Textbook: Elementary Linear Algebra: A Matrix Approach
Edition: 2
Author: Lawrence E. Spence
ISBN: 9780131871410

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