![]() ![]() It is ok to leave the default number of decimal places for computation. For each of the eigenvalues \(A_1, A_2, A_3\), compute the associated eigenvectors using the following template code: (Hints: Set IP_1 and P=0 on page 1 of the worksheet. (i) Direct iteration method, start with eo =. You are required to use the MATHCAD worksheet entitled 'Finding eigenvalues and eigenvectors associated with Activities 5.1-5.3 in Unit 6 (the given matrix is similar to the matrix (A) in the given worksheet) to investigate the effect of carrying out the corresponding iteration procedure. If it does not converge or is slow, suggest a reason why it is not converging. Write the number of iterations required for the convergence. quasi-static eigenvalues of the state transition matrix A() do not. ![]() If it does converge, write down which eigenvalue and eigenvector were reached. match both the nonlinear building blocks and the desired type of transfer. Whether the iteration converges to a value with 3 decimal places accuracy. In each case of the above Part (ii), comment on: (Hints: Set IP=3 and P=-15 on page 1 of the worksheet. (iii) Modified inverse iteration method, start with C =. (Hints: Set IP=2 and P=0 on page 1 of the worksheet. (ii) Inverse iteration method, start with C =. (Hints: Set IP1 and P=0 on page 1 of the worksheet. the Wegstein method, the Newton-Raphson method the Eigenvalue method. Alternatively I used the website WolframAlpha to double check my results. (i) Direct iteration method, start with eo =. from Excel and general mathematical packages such as MATLAB and MathCAD to. In Matlab, there is a V,D eig (M) to get the eigenvectors of matrix by using: V,D eig (M). You should reset the value of N to 10 at the start of each part. You will find it necessary to try a different number of iterations in the worksheet during your investigations. If V is nonsingular, this becomes the eigenvalue decomposition. With the eigenvalues on the diagonal of a diagonal matrix and the corresponding eigenvectors forming the columns of a matrix V, you have. Investigate each of the following 3 cases using your MATHCAD results. An eigenvalue and eigenvector of a square matrix A are, respectively, a scalar and a nonzero vector that satisfy. Use your Mathcad software to compute the eigenvalues and eigenvectors of the matrix A. SOLVED: You are required to use the MATHCAD worksheet entitled 'Finding eigenvalues and eigenvectors associated with Activities 5.1-5.3 in Unit 6 (the given matrix is similar to the matrix (A) in the given worksheet) to investigate the effect of carrying out the corresponding iteration procedure. ![]()
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