Unformatted text preview: you. If there is an error, or you forgot to bring in a doctor’s note/etc, contact me ASAP! Most Quiz 6 problems were relatively easy homework exercises. 1) Similar to 5.2.2a. Set A = (2 ,1 , 1), so S = R ( A T ) and S ⊥ = N ( A ), which is a Ch.1 problem. Normal GE methods lead to the basis { (1 / 2 , , 1) T , (1 / 2 , 1 , 0) T } . Other answers are possible, but you need to show your work for full credit. Trial and error is not reliable. 2) See 5.3.1a. The normal equations lead to [2 , 1] T . [You can use the formula in Thm 5.3.2 instead, since rank A = n = 2, but that’s a little more work]. Notice that this vector solves equations 1) and 2) of the system exactly. Unusual  but so is the third equation! 3) See 5.1.3c. p = [3 , 3 , 3] T 4a) rank 4b) See page 245. 1...
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 Spring '09
 JULIANEDWARDS
 Normal Distribution, Linear least squares, upper right corner, Prof. S. Hudson, current MHW average, Normal GE methods

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