Answered: Let A = 1 2 1 242 3 6 3 a) Find the…

Let A = 1 2 1 242 3 6 3 a) Find the rank of matrix A. b) Find the nullity of matrix A. c) Show that the rank-nullity theorem holds for matrix 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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Question

Let A
=
1 2 1
242
3 6 3
a) Find the rank of matrix A.
b) Find the nullity of matrix A.
c) Show that the rank-nullity theorem holds for matrix A.

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