Let T be a linear transformation on a vector space. Show that ker(T) ℃ im(I – T).

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Chapter7: Eigenvalues And Eigenvectors
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Find the bases for the kernel and image, and verify the rank-nullity theorem.
Let T be a linear transformation on a vector space. Show that ker(T) ℃ im(I – T).
Transcribed Image Text:Let T be a linear transformation on a vector space. Show that ker(T) ℃ im(I – T).
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