Compute the value of the function y = xe-x cos (2x) when x = 10. 2. MATRICES (a) Construct a matrix A, where A = 1 3 5 7) 10 8 6 4 2 4 68 3 5 7 9, (b) Construct matrix Bfrom A, where Btakes only the third and fourth columns of the first and second rows. 3. VECTOR AND MATRIX (a) Construct a vector vsuch that v(n) = 15e "cos(0.125n) (b) Generate a 5 x 5 matrix Mwith elements x = 1 to 5 M (x, y) = xy You can only use one line to complete the task. n = 0, 1, 2, 3, ..., 20 4. LOOPS (a) Using FOR loops, generate a 6 x 6 matrix with elements (x, y= 1 to 6) Y(x, y) = 2x + y (b) Using WHILE Loops to compute the value of 2023 Fall i=20,j=5 i+2j i=0,j=0 5. PLOT (a) Plot y(t) and z(t) on the same graph, for 1st5 (with 1000 data points), such that y(t) = 3e-0.5t cos(x) z(t) = 2-y(t) (b) Plot the following four signals on the same graph (set the step size to 0.2) a(t) = 1 + t b(1) = cos(2) c(13) = (2+) d(14) = 514-8 a b d ,-5