A, i.e., compute matrices V and A such that A = VAV and A is a...

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A, i.e., compute matrices V and A such that A = VAV and A is a diagonal matrix. 1 -1 0 0 0 0 0 -1 2 -1 0 0 0 0 0 -1 2 -1 0 0 0 A = 0 0 -1 2 -1 0 0 (4) 0 0 0 -12 -1 0 0 0 0 0-12 -1 0 0 0 00 -1 1 Verify that V-1 = VT. Plot the first three columns of V. PROBLEM 2 (a) Write MATLAB script to compute the following geometric series for K = 50 Output solution x in the command line. K x = 1.2(0.8) i=0 (b) Write MATLAB script to compute y[n] for n = {0,..., 200}. Plot y[n] as function of n. n y[n] = ) (-0.99)* i=0 Is y[n] converging as no? If so, what value is it converging to? (5) (6) A, i.e., compute matrices V and A such that A = VAV and A is a diagonal matrix. 1 -1 0 0 0 0 0 -1 2 -1 0 0 0 0 0 -1 2 -1 0 0 0 A = 0 0 -1 2 -1 0 0 (4) 0 0 0 -12 -1 0 0 0 0 0-12 -1 0 0 0 00 -1 1 Verify that V-1 = VT. Plot the first three columns of V. PROBLEM 2 (a) Write MATLAB script to compute the following geometric series for K = 50 Output solution x in the command line. K x = 1.2(0.8) i=0 (b) Write MATLAB script to compute y[n] for n = {0,..., 200}. Plot y[n] as function of n. n y[n] = ) (-0.99)* i=0 Is y[n] converging as no? If so, what value is it converging to? (5) (6)