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For the linear mapping as follow T c- dim(KerT) =2 d-dim (KerT) =3 T: R² R³ X y Z x-2y x-3z x-4t determine the nullity and rank of T, which one is a correct a dim (KerT)=0 dim(imag T)=4 dim(imag T)=3 b- dim (KerT)=1 → dim(imag T)=2 dim(imag T) = 1

For the linear mapping as follow T c- dim(KerT) =2 d-dim (KerT) =3 T: R² R³ X y Z x-2y x-3z x-4t determine the nullity and rank of T, which one is a correct a dim (KerT)=0 dim(imag T)=4 dim(imag T)=3 b- dim (KerT)=1 → dim(imag T)=2 dim(imag T) = 1

Advanced Engineering Mathematics
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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. For the linear mapping as follow T T: R² R³ = x-2y x-3z x-4t determine the nullity and rank of T, which one is a correct a dim(KerT) = 0 b- dim(KerT) = 1 cdim (KerT) =2 d-dim (KerT) =3 →dim(imag T)=4 →dim(imag T)=3 dim(imag T) = 2 dim(imag T) = 1
Transcribed Image Text:. For the linear mapping as follow T T: R² R³ = x-2y x-3z x-4t determine the nullity and rank of T, which one is a correct a dim(KerT) = 0 b- dim(KerT) = 1 cdim (KerT) =2 d-dim (KerT) =3 →dim(imag T)=4 →dim(imag T)=3 dim(imag T) = 2 dim(imag T) = 1
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