Part C: Linear Algebra 1. Consider the matrix below that was found during the analysis of an electrical circuit. A = egin{bmatrix} 0 & 1 & -11 \ 3 & -1 & 0 \ 4 & -7 & 1 end{bmatrix} (a) Determine x if Ax = b where b = [12 5 0]^T. Use the Gaussian Elimination and back substitution technique. (b) Use MATLAB to solve the matrix equation in Part C:1(a). Include your code in the submission. 2. Consider the matrix below B = egin{bmatrix} 6 & -5 \ 5 & -2 end{bmatrix} (a) Determine the eigenvalues and eigenvectors of matrix B by hand. (b) Use MATLAB to verify the answers in Part C:2(a). Show working to demonstrate that answers obtained through MATLAB are equivalent to the calculations by hand. Include your code in the submission.
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Consider the matrix below: Determine the eigenvalues and eigenvectors of matrix B by hand. (b) Use MATLAB to verify the answers in Part C: 2(a). Show working to demonstrate that answers obtained through MATLAB are equivalent to the calculations by hand. Include your code in the submission.
Linear Algebra Review Question: A matrix is given as follows. Answer the following questions. Find the eigenvalues and eigenvectors of the matrix A. Are the eigenvalues all real numbers? Why? Find the inverse of A using the Gauss elimination. (You may want to check the results by using software such as MATLAB.) If Ax = b where b = [1 2 3]^T, find the solution for x.
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