Eigenvectors and Eigenvalues: Construct the 20 x 20 matrix [10 sin(0) 0.1 e-1 10 sin(1) 0...

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Eigenvectors and Eigenvalues: Construct the 20 x 20 matrix [10 sin(0) 0.1 e-1 10 sin(1) 0 0 0 0 e-1/2 0 0 0 0 0.1 10 sin(2) e-1/3 0 0 A = 0 0 0.1 10 sin(3) e-1/4 0 : 0 0 0 0 0 0 000 0 0 0.1 00 10 sin(18) 0.1 e-1/19 10 sin(19) (a) Find the largest eigenvalue of A in absolute value, and save it value as A1. (b) Find eigenvector of A that corresponds to the eigenvalue found in part (a) and save it as A2. (Hint: For [V,D]=eig(A) in MATLAB and w,V=np.linalg.eig(A) in Python the columns of V are in the same order as the eigenvalues in D or w.) Eigenvectors and Eigenvalues: Construct the 20 x 20 matrix [10 sin(0) 0.1 e-1 10 sin(1) 0 0 0 0 e-1/2 0 0 0 0 0.1 10 sin(2) e-1/3 0 0 A = 0 0 0.1 10 sin(3) e-1/4 0 : 0 0 0 0 0 0 000 0 0 0.1 00 10 sin(18) 0.1 e-1/19 10 sin(19) (a) Find the largest eigenvalue of A in absolute value, and save it value as A1. (b) Find eigenvector of A that corresponds to the eigenvalue found in part (a) and save it as A2. (Hint: For [V,D]=eig(A) in MATLAB and w,V=np.linalg.eig(A) in Python the columns of V are in the same order as the eigenvalues in D or w.)