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Unformatted text preview: 1) The normal equations are A T A x = A T b , so you substitute into that, and get 611 6 x = 2025 I intended for you to multiply out A T A and A T b , but gave full credit without that. I gave 2 points extra credit if you did so. 2) In R n , we compute the norm of a vector from  x  = ( x T x ) 1 / 2 . In an inner product space, we use h x,x i instead. ( R 1 ( x + 1) 2 dx ) 1 / 2 = p 7 / 3. 3a) [This was HW, and we also did it in class]. The part about Ax R ( A ) is from basic denitions (see pages 3637). And x N ( A T A ) means A T A x = which means A x N ( A T ). By the main thm (5.2.1), these show that A x S S = { } (see Remark 1 on page 227). 3b) See the text. You should really include the paragraph above Theorem 5.2.1, too, though I wasnt very strict about that this time. 1...
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This note was uploaded on 12/26/2011 for the course MAS 3105 taught by Professor Julianedwards during the Spring '09 term at FIU.
 Spring '09
 JULIANEDWARDS

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