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Can somebody help me with he following Solve the following problems using Matlab or Scilab (Commands might vary) . | 1. Let A be the

Can somebody help me with he following

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Solve the following problems using Matlab or Scilab (Commands might vary) . | 1. Let A be the coefficient matrix and B the right-hand side of the linear system 3x + 3y + 12z = 18 x + y + 4z = 6 2x + 5y + 20z = 30 - x + 2y + 8z = 12 Enter the matrices A and B and form an augmented matrix C for this system by using the MATLAB command C = [ A B]. Solve the system using rref 2. Use MatLAB command A/B to solve the linear system 16x - 120y + 240z - 140w = - 4 -120x + 1200y - 2700z+ 1680w = 60 240x - 2700y + 6480z - 4200w = -180 -140x + 1680y - 4200z +2800w = 1402. Use MatLAB command A/B to solve the linear system 16x - 120y + 240z - 140w = - 4 -120x + 1200y - 2700z+ 1680w = 60 240x - 2700y + 6480z - 4200w = -180 -140x + 1680y - 4200z +2800w = 140 You can display more significant digits of the answer by entering format long before solving the system. Return to the standard format by entering format short. 3. Use MatLAB to find a sixth-degree polynomial that fits the points (0,0), (-1, 4.5), (-2, 133), (-3, 1225.5), (1, -0.5), (2, 3), (3, 250.5)4. Enter the matrices A= B= Use MatLAB to find (a) A + B (b) 2B - 3A (c) AB (d) BA 5. Enter the matrices A= B= = (a) Find AB- AC and A(B-C) What do you observe? (b) Find 3(AC), A(3C). (3A)C What do you observe? 6. Let A=6. Let A= Use MATLAB to find A2, A3, AB. Describe the matrix A" for large. 7. Let A and B be the 3x3 matrices below. A= B= (a) Use MATLAB to find A-1B-1, (AB) -1, and (BA) -1, what do you observe? (b) Use MATLAB to find (A-1) T and (AT) -1 . What to you observe?\f

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