Please answer these Matlab questions when able. Thanks.

4. Laboratory Problem Description In this laboratory you are required to find eigenvalue and eigenvectors for A in the following systems of linear equation Ax-B: 17x1+2x2+3x3+4x44 5x1+6x2+7x3+8x4 3 9x1+10x2+11x3+12x4 2 13x1+14x2+15x3+16x4 1 Apply the following commands: >>A 1 12:211 Verify that the columns of X in the example above indeed are eigenvectors to the matrix A. In other words, multiply (using Matlab) the matrix A to the columns (one at a time) of X and check that they are eigenvectors corresponding to the eigenvalues. Compute characteristic polynomial for A-2 3 1-1 23,012] 5. Laboratory Exercises EX1: Given the following matrix: A-1 0 3 1 2 3 Using MATLAB commands find the following: O The eigenvalues of matrix A O The eigenvectors of matrix A EX2: Find the characteristic polynomial for A in EX1