Question: Let A = XYT, where X is an m r matrix, YT is an r n matrix, and XTX and YTY are both

Let A = XYT, where X is an m × r matrix, YT is an r × n matrix, and XTX and YTY are both nonsingular. Show that the matrix
B = Y (YTY)-1(XTX)-1 XT satisfies the Penrose conditions and hence must equal A+. Thus A+ can be determined from any factorization of this form.

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