Question: Let A be an m x n matrix. (a) Explain why the product L = AAT is a Gram matrix. (b) Show that, even though

Let A be an m x n matrix.
(a) Explain why the product L = AAT is a Gram matrix.
(b) Show that, even though they may be of different sizes, both Gram matrices K = ATA and L = AAT have the same rank.
(c) Under what conditions are both K and L positive definite?

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