Let A be an m n matrix. Show that (a) if x N(ATA), then Ax is in both R(A) and N(AT )
Chapter 5, Problem 13(choose chapter or problem)
Let A be an m n matrix. Show that (a) if x N(ATA), then Ax is in both R(A) and N(AT ). (b) N(ATA) = N(A). (c) A and ATA have the same rank. (d) if A has linearly independent columns, then ATA is nonsingular. 1
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