A real-valued, rectangular matrix A € Rmxn can be decomposed into A = UΣV™, where U is an m × m orthogonal matrix, Σ is an m × n rectangular diagonal matrix with non- negative real numbers on the diagonal (which are called the singular values of A), and V is an 1 2] nx n orthogonal matrix. Consider the matrix A - 07 52 0 3 a. Is the matrix AA diagonalizable? If so, find the matrix U by diagonalizing AAT. (You may use MATLAB eig()) b. Is the matrix ATA diagonalizable? If so, find the matrix V by diagonalizing ATA. (You may use MATLAB eig())

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