Verify that the vector X is a solution of the given homogeneous system.1 45 -1-1 -4 -1X' =For x-(1) aneX =215 , one hasX'=145 -1 0 X =-1 -4 -110X; X =5-21XxXI+ X-1-50⁰√00!calcPadOperationsFunctionsSymbolsRelationsSetsVectorsTrigGreekHelp

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Answered: Verify that the vector X is a solution…

Linear Algebra: A Modern Introduction

4th Edition

ISBN:9781285463247

Author:David Poole

Publisher:David Poole

Chapter4: Eigenvalues And Eigenvectors

Section4.2: Determinants

Problem 20EQ

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Verify that the vector X is a solution of the given homogeneous system. - (2) 5 -21 X' = 1 4 5-1 -1 -4 For x- ()- one X = 5 21 has X' = 4 5 -1 0 X = -1 -4 -1, 1 0X; -1 X = 1000 X X X