Using Octave/Matlab if needed.

Problem 1. Given the following matrices: 1 3 2 [2 1 11 A= 2 0 1 : B= 1 0 0 - 2 1 0 -1 0 by the aid of MATLAB/OCTAVE, compute AB, BA, ATB?. Make a guess on what is BT AT without computing so. Problem 2. Under the same settings of Problem 1, compute A-, B-,(BA)-!. Problem 3. Consider the recurrence for t > 1: x(t+1) = Hx(+) 1/5 H= (1) = where 1/5 -2/5 -3/10] -7/20 1/5 7/20 11/20 -1/10 1/4 7/207/20 1/2 3/20 2/5 1/4 write a MATLAB script to compute x(100) k Problem 4. Consider the function 7 9k = g(k)=sin 20 Construct the vector g = (90, ---, ) for T = 30 on MATLAB. Visualise the values of gx's using a stem plot. = sin (954). el-4/2) Problem 5. Let u=g-gl-), where g(-) = (9-1,90,91,...,9T-1). Interpret the physical meaning of the vector u. THE END