USING MATLAB PLEASE.

Exercise Set 4 1. Enter the matrices and vectors: 12 3 77 1 0 9 12 A = 1 2 0 B = 2 1 4 C = [1 2 4], d = 0 4 15 3 1 2 3 Find the products (where they exist): c*A, c*B, A*B, d*A 2. If x is the column vector: [X1; X2; X3], solve the system of equations Ax = d. 3. Solve the system of equations: 3x, + 2x2 + 5x1 + x2 + x3 = -1 4x4 - 2x2 + 2x3 = 2 X3 = 10 Answers: 1. c A = [20 11 27), c*B = (17 6 25). A*B = [29 10 44; 5 2 17; 21 6 50]; d*A doesn't exist; 2. X2 = 0.5, X2 = -0.25, X3 = 0.25 3. X1 = 0, X2 = 3, X3 = 4. ECE 309 Intro. to MATLAB Lecture 1.49 49 Exercise Set 4, continued 4. Compute: A-B 5. Use scalar expansion to create a new matrix, A_new, such that each element of A (from problem 1) is decreased by 4. 6. For matrix A (in problem 1), find: a. the determinant; b. the inverse; and c. the eigenvalues and eigenvectors. 7. For vector c(in problem 1) use MATLAB to compute a. the number of elements or entries; and b. the geometric (or Euclidean) length