For the following exercise, you can use Matlab or Python for the calculations whenever needed. [This...

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For the following exercise, you can use Matlab or Python for the calculations whenever needed. [This is not about programming, i.e., use matlab/ python in the same way you would use a calculator.] (a.) Compute the 1-norm, the 2-norm, the infinity norm and the Frobenius norm of the matrix: A = -1 0 -2 1 2 2 1 0 0 3 0 1 1 -1 4, (b.) Find the eigenvalues and the spectral radius of A(2 : 4, :) (c.) Find the singular values of A. What is the nuclear norm of A? What is its Schatten 3-norm? From the singular values what can you say about the determinant of AT A? For the following exercise, you can use Matlab or Python for the calculations whenever needed. [This is not about programming, i.e., use matlab/ python in the same way you would use a calculator.] (a.) Compute the 1-norm, the 2-norm, the infinity norm and the Frobenius norm of the matrix: A = -1 0 -2 1 2 2 1 0 0 3 0 1 1 -1 4, (b.) Find the eigenvalues and the spectral radius of A(2 : 4, :) (c.) Find the singular values of A. What is the nuclear norm of A? What is its Schatten 3-norm? From the singular values what can you say about the determinant of AT A?