Question: Let A be an m n matrix with linearly independent columns. Explain why ATA must be an invertible matrix. Must AAT also be invertible?

Let A be an m × n matrix with linearly independent columns. Explain why ATA must be an invertible matrix. Must AAT also be invertible? Explain.

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Since A has n linearly independent columns rank A n Theorem 328 of Section 35 tells us ... View full answer

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