Question: Question 6 (a) Suppose that A is a real 2 x 3 matrix whose singular values decomposition is given by A = @muf + @9211;

Question 6 (a) Suppose that A is a real 2 x 3 matrix whose singular values decomposition is given by A = @muf + @9211; and let B be the matrix given by BLuv*+i\"2 * m 11 we \"2' (i) What can you say about the eigenvalues of A'A? How are theyr related to the vectors in the singular values decomposition of A? (ii) Find AB and BA, simplifying 1your answer as far as possible. (iii) Show that ABA = A and BAB = B. (iv) Deduoe that B is the strong generalised inverse of A. (h) Suppose that A is the matrix 121 $1). (i) Find the singular values decomposition of A. (ii) Using part (a), deduce the strong generalised inverse of A

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