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Unformatted text preview: L . (They need not be a basis.) (c) Find a matrix A such that L ( x ) = A x . (d) What is the dimension of the range of L ? Give a reason for your answer. 3. (10 pts) Suppose that A, B R n n are nonsingular and that A and B are similar. Prove that A1 and B1 are similar. 4. (10 pts) Suppose V is a subspace of R n and W is a subspace of V . Prove that W contains V . WARNING: The nal exam will probably not be in this room. END OF EXAM...
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This note was uploaded on 06/18/2009 for the course MATH 20E taught by Professor Enright during the Winter '07 term at UCSD.
 Winter '07
 Enright
 Math, Linear Algebra, Algebra

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