MATH 121A Quiz: 121A-Quiz7
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Students have either already taken or started taking this quiz, so be careful about editing it. If you change any (cid:191) quiz questions in a signi cant way, you may want to consider regrading students who took the old version of the quiz. Pick 2 questions, 2. 0 pts per question (cid:48) If v is a nite-dimensional real vector space and is not invertible. is a linear transformation which has 0 as an eigenvalue, then t (cid:48) If a is an nxn matrix over the real numbers which has 0 as an eigenvalue, then a is not diagonalizable. (cid:48) Let v be a complex-vector space, and let a non-zero vector be a linear transformation. If i is an eigenvalue of t, then there exists (cid:48) If t is a linear transformation and v is an eigenvector of t corresponding to eigenvalue 3, then -v is an eigenvector of t corresponding to eigenvalue -3. (cid:48)
