[1 3 9 6 2 42171 A = 8 8 4 3 5 1 4293 (1) A(3, 5) 5 and A(1, 4) 6 In MATLAB we can also reference an entire row or column using a colon (:). The colon acts as a wildcard character giving all values possible in the wildcard position. Thus we can extract an entire column of A using a colon in the row position and providing the column number we want. Lab 2 b = A(:, 3) 4 MENG-210L (3) 5. Read the Transpose and Inverse Matrices section of the handout. Using MATLAB, solve the following system of linear equations x1 + 2x2 + x3 = 8 2x1 + x2 + 2x3 = 10 3x1 + 3x2 + X3 = 12 Write a MATLAB code for solving the linear system of equations, run it and demonstrate the code and results to TAs. In your Lab report input and discuss the items listed below (a) Input the system of equations in the matrix form indicating a matrix of elements A and a vector b. (b) Calculate and present the determinant of matrix A. (c) Calculate and present the adjoint matrix A. (d) Calculate and present the inverse matrix A. (e) Calculate and present the solution of the system of equations: X1, X2, X3. 6. Read the Eigenvalue section of the handout. Consider the system of linear equations resented in previous section (5). Write a MATLAB code for solving the eigenvalue problem, run it and demonstrate the code and results to TAs. In your Lab report input and discuss the items listed below (a) Calculate and present the vector of eigenvalues L. (b) Calculate and present the matrix of eigenvectors V.