1. Let A = (_> >) and let B = {v1, v2} represent another basis of RZ with v] = and v2 = (). Find a matrix B such that B is similar to A and acts in the B -coordinate grid. 2. Compute A6 when A = CDC-1. C = (_23 3) >=( ") For #3 - 5, diagonalize by hand if possible or explain why the matrix is not diagonalizable. 3. A = 8 ) 4 0 0 4. A= 4 0 0 5 4 0 -2 5. A = 2 5 0 5 6. Sketch a graph to show how the matrix A = To (_12 g) acts on the plane. Indicate the eigenspaces. Use arrows to indicate if multiplication by the vector moves toward the coordinate axes or away from them. Find an invertible matrix C and a matrix B of the form ( ) such that the given matrix has the form A = CBC-1 7. A = G 8. A = G 3 9. A = - 6) 10. Explain how the matrix A = _ (10 "8) acts on the plane. Do the vectors get longer, shorter, or stay the same when multiplied by A. What angle of "rotation around the ellipse" does the multiplying by the matrix generate