Question: Let A and consider TA : R2 R2. (a) Show that the only eigenvalue of TA is A = 0. (b) Show that ker(TA)

Let A
0 0

and consider TA : R2 †’ R2.
(a) Show that the only eigenvalue of TA is A = 0.
(b) Show that ker(TA) = (R)

Let Aand consider TA : R2 †’ R2.(a) Show that

is the unique TA-invariant subspace of R2: (except for 0 and R2).

0 0

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