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Exercise 7.2.9 Let T:V → V be a linear transformation where V is finite dimensional. Show...

Exercise 7.2.9 Let T:V → V be a linear transformation where V is finite dimensional. Show that exactly one of (i) and (ii) ho

Exercise 7.2.9 Let T:V → V be a linear transformation where V is finite dimensional. Show that exactly one of (i) and (ii) holds: (i) T(v) = 0 for some v + 0 in V; (ii) T(x) = v has a solution x in V for every v in V.
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If T T: V-V rin holds. Truie o for some uto in v is singular Rank Nullity Thm. [ finite I finite Dimensional bet Dim van) Dim=> T Cannot be singular Hence ris Not hold rii So, Practly of and riil holds one

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Exercise 7.2.9 Let T:V → V be a linear transformation where V is finite dimensional. Show...
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