MATH 21A Midterm: MATH 20 Harvard 2004Spring20MidtermII
Document Summary
Full credit may not be given for an answer alone. You may use the backs of the pages or the extra pages for scratch work. Students who, for whatever reason, submit work not their own will ordinarily be required to withdraw from the college. In all situations where row operations are performed on a matrix, label each operation to receive partial credit in case of arithmetic mistakes. 1: (15 points) let w be the subspace spanned by. Find a basis for w and the dimension of w . 2: (15 points) find all numbers c such that. Consider the discrete dynamical system de ned by the linear transformation x 7 ax. 4: (15 points) let a be the matrix . Give the eigenvector of unit length corresponding to this eigenvalue. Compute v = projw v and nd the distance from v to w . 6 (9 points) label the following statements as true or false.
