100 Jojo 10:23 D33% “º„ll &nxnQ1: A) if AER"only this vector \ then&and NCA) Containsa. n=3 and A is invertibleb n= 3 and A is singularC.n=2 and A is invertibledin=l and A is invertibleand () ¢ CA) bhena.a3 =a2 and aszaia2 anda 2#1b. 93#-a 2 and as#aia2 and ag=1c. a3ta2 and as ta a 2 and a2t /azza2 and a3=Qiag and a = |d.Cic) Suppose Ax=b and Ay-c ar@solvableThe Az=2b-c issolvable when &a. 23x-2y /b.2=x-y/c.z=8xny=メc.Z=2X+ydZ=2xー4

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Answered: Q1E A) if AER"and NCA) Conbains only…

Q1E A) if AER"and NCA) Conbains only this vector : then a. n= 3 and A is invertible b n=3 and A is singular C.n=2 and A is invertible din=l and A is invertible

Advanced Engineering Mathematics

10th Edition

ISBN:9780470458365

Author:Erwin Kreyszig

Publisher:Erwin Kreyszig

Chapter2: Second-order Linear Odes

Section: Chapter Questions

Problem 1RQ

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nxn Q13 A) if AER"and NCA) Contains only this vector then g a. n=3 and A is inverbible b n=3 and A is singular C.n=2 and A is invertible din=l and A is invertible Q1:0) suppese A-la2 ag)if C:) ¢NCAS and () € CA) thengo a. a3 =a2 and azzai a2 anda 2#1 b. 93#-a2and as# aja2 and ag =l C. a3ta2 and as tai a 2 and a2t/ d. azzag =| QiC) Suppose Ax=b and Ay=c ar@solvalble The Az=2b-c issolvable when & and a3=aia2 and an %3D Zーメ-2y /b.Z=メー/c.z=2xty ーニメ C.Zニ d. Z =2x-y
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