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Engineering Mathematics

by: Alvena McDermott

Engineering Mathematics MATH 3321

Marketplace > University of Houston > Mathmatics > MATH 3321 > Engineering Mathematics
Alvena McDermott
GPA 3.69

Jeffrey Morgan

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Jeffrey Morgan
Class Notes
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This 10 page Class Notes was uploaded by Alvena McDermott on Saturday September 19, 2015. The Class Notes belongs to MATH 3321 at University of Houston taught by Jeffrey Morgan in Fall. Since its upload, it has received 44 views. For similar materials see /class/208395/math-3321-university-of-houston in Mathmatics at University of Houston.


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Date Created: 09/19/15
Least Squares Solutions of Linear Systems continued Recall lie nst sqwanes olution M HI quot39II I I l a r a k I I 1 quotIL I 1 1quot IL J J kl quotj 3 F n I I Elimi 397 W E 339 a I H G H 1 AHquot w 1 1 My yr j 11 ail 131 M m NMM mmw rm X iT 99 SON P A 1 1 T 3 18 65 5 I 9 65 250 54 c 3 a 5 54 86 The augmented matrix is 18 65 5 2O 65 250 54 6O 5 54 86 23 C The rref of this matrix is O 1253 0 13912 1 O O 1 O O 1 5512 gt So the solution is X 1253 13912 5512 Example Cnsidr th mblem f nding a line tht fits th ata Typically Least Squares Fits 0 Linear n V cm 9 Wong Cidu w 0 Quadradie 2 0 Cubic 3 139 0 L01 5 a b lt Xquot 339 Polynomial of degree n WC 05 l39mg 0 Logarithmic 7 b a r 3 a 3quot a 0 x39xo Custom Made Example Data paints along with the quadratic af hast la39aat squares t given by y 45 xi DJTES39I H E Where do the normal equations come from Io m 39 2 ktm F f 539 quot AVE Wei W m 7 M 2amp5 MS0 2 What is the geometric interpretation Next time Next Tima Span and Projection


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