Let V be a finit dimensions vector space of at least dim =1, Let T: V-> V be a linear transformation such that (T-3)^3=0 Show that vectors in (range(t-3)^3 are contained in ker(t-3)

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
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Let V be a finit dimensions vector space of at least dim =1, Let T: V-> V be a linear transformation such that (T-3)^3=0 Show that vectors in (range(t-3)^3 are contained in ker(t-3)

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Let V be a finit dimensions vector space of at least dim =1, Let T: V-> V be a linear transformation such that (T-3)^3=0 Show that vectors in (range(t-3)^2 are contained in ker(t-3)

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