Question: 1. Consider A = 1 a. Verify that v and v, are eigenvectors of A. b. Diagonalize A. c. Compute A. 20 -2 2. The

1. Consider A = 1 a. Verify that v and v, are eigenvectors of A. b. Diagonalize A. c. Compute A. 20 -2 2. The eigenvalues of A = 1 3 2 , including repetition, are 1 = 2 and 1 =3. Diagonalize 0 0 3 A [just find P and D. don't worry about P"], or explain why it can't be diagonalized. 3. Let m = -1 and w = -8 8 a. Find m . b. Find a unit vector in the direction of m . c. Evaluate m . w

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