Question: Answer only part (b) Problem 2 (a) Answer the following statements by True or False. Give proper explanation to support your answers. (i) For every

Answer only part (b)

Problem 2 (a) Answer the following statements by True or False. Give proper explanation to support your answers. (i) For every matrix A, ATA = AAT. (ii) All of the singular values of a matrix are non-negative. (iii) Every m x n matrix has a unique Singular Value Decomposition. (iv) Only nonsingular square matrices have pseudoinverses. (v) For a non singular matrix, its pseudoinverse must equal to its inverse. (b) Find the eigenvalues and unit eigenvectors v1, v2 of A A. Then find uj = Avi/01: 19 A = Verify that uj is a unit eigenvector of AA". Complete the matrices U, E, V

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