True False. T(R2) = Col(C).
True False. Ker L is a subspace of V that depends on which basis is used for V.
True False. If T is a rotation, then its kernel is {0}, and C is singular.
True False. dim Ker T + dim range T = 2.
True False. If A and B are two matrix rep'ns of L, then A is similar to B.
True False. If Ker L contains a nonzero vector, then L is not 1-1.
True False. Let L2 (v) = L(L(v)).Then the matrix rep'n of L2 is C2.
True False. Any matrix rep'n of L must be square and nonsingular.
True False. If A is similar to B, then AT is similar to BT and A2 is similar to B2 (see HW).
True False. If B is similar to I then B = I.
Written by S.Hudson
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