Question: 6. If x is a LS solution to Ax ~ b, show that it must satisfy the normal equation AT Ax = ATb. 7. If

6. If x is a LS solution to Ax ~ b, show that it must satisfy the normal equation AT Ax = ATb. 7. If A E Rmx" has the rank n, show that A'A is invertible and its Pseduoinverse At = (AT A)-1AT. 8. For A E Rmxn, let B be its Pseduoinverse A. Show that B satisfies the following equations: (AB - Im)A = 0, (BA - In)B=0, A"B" - BA = 0, BAT - AB = 0

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