Consider the following 2 by 3 matrix, A = 1 0 -2 1 0 (a) Find...

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Consider the following 2 by 3 matrix, A = 1 0 -2 1 0 (a) Find the right singular vectors i.e. eigenvectors of ATA. Let V denote the matrix of the normalized eigenvectors. (b) Find the singular values of A. Let Σ be a diagonal matrix that consists the singular values in the main diagonal. (c) Find the left singular vectors of A. Let U denote the matrix of the normalized left singular vectors. (d) Write the singular value decomposition (SVD) of A i.e. show that A = UZVT. (e) Write the reduced SVD of A. (f) Using the SVD of A, compute ||A||2 and ||A||F. Consider the following 2 by 3 matrix, A = 1 0 -2 1 0 (a) Find the right singular vectors i.e. eigenvectors of ATA. Let V denote the matrix of the normalized eigenvectors. (b) Find the singular values of A. Let Σ be a diagonal matrix that consists the singular values in the main diagonal. (c) Find the left singular vectors of A. Let U denote the matrix of the normalized left singular vectors. (d) Write the singular value decomposition (SVD) of A i.e. show that A = UZVT. (e) Write the reduced SVD of A. (f) Using the SVD of A, compute ||A||2 and ||A||F.