Question: 4 -2 3 1. (20 points) Let A= 6 4 8 -8 7 (a) Find a basis for ColA. What is the dimension of ColA?

4 -2 3 1. (20 points) Let A= 6 4 8 -8 7 (a) Find a basis for ColA. What is the dimension of ColA? (b) Find a basis for NulA. What is the dimension of NulA? (c) Find a basis for RowA. What is the dimension of RowA?2. (7 points) Let 4 be an eigenvalue of an invertible matrix A. Show that A~ is an eigenvalue of AL, 3. (12 points) Use the inverse methods to solve the system (Use determinants to avoid fractions) x+2y3z=1 2x+y=5 4x 2y + 5z = -2

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