Consider the matrix A = 1 1 1 1 2222 1234 1 357 (a) Find the rank and the nullity of A. (Note: nullity A = dim Nul A) (b) Find a basis for Row A and a basis for Col A. (c) Find a basis for Nul A.

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter9: Systems Of Equations And Inequalities
Section9.6: The Algebra Of Matrices
Problem 13E
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Consider the matrix
A
=
1 1 1 1
2222
1234
1 357
(a) Find the rank and the nullity of A. (Note: nullity A = dim Nul A)
(b) Find a basis for Row A and a basis for Col A.
(c) Find a basis for Nul A.
Transcribed Image Text:Consider the matrix A = 1 1 1 1 2222 1234 1 357 (a) Find the rank and the nullity of A. (Note: nullity A = dim Nul A) (b) Find a basis for Row A and a basis for Col A. (c) Find a basis for Nul A.
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