CPE121 Lect04Inclass S08 (version 1)

CPE121 Lect04Inclass S08 (version 1) - 1 2 3 4 5 6 2 1...

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Named Matrices: 1 2 3 5 10 6 4 5 6 12 9 11 8 3 7 Scalar multiplication Transpose scalar: 5 5 12 8 10 9 3 5 10 15 20 25 30 Matrix addition 1 2 3 6 14 11 4 5 6 14 14 9 Matrix Multiplication 53 37 49 128 103 121 determinant Inverse 723 0.14 -0.05 1 0 -0.18 0.07 0 1 723 0.14 -0.05 1 0 nesting -0.18 0.07 0 1 A , 2 x 3 B , 3 x 2 c , 3 x 1 B T = 5 A = 5 A /5 = A + B T = AB = Ac = det( AB ) = ( AB ) -1 = ( AB )( AB ) -1 = Remember: [Ctrl+Shift+Enter]
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Material Balance Problem A 0.91 1 0 b 55 0.09 0 1 45 0.91 0 0 44 0.91 0 0 1.1 48.4 1 0 -1 11.0 0 1 -0.1 40.6 55 45 44 Det[ A ] A -1 x = A -1 b x 1 x 2 x 3 Check: Ax = b
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Measured values xexp yexp 1 13.50 2 19.61 3 42.22 4 66.38 5 88.99 6 118.67 7 130.08 8 174.83 9 220.48 10 252.57 Straight Line fit X ycalc x 1 XBeta 1 1 -8.4
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Unformatted text preview: 1 2 3 4 5 6 2 1 18.52 1 1 1 1 1 1 3 1 45.44 4 1 72.36 5 1 99.27 6 1 126.19 0.01-0.07 7 1 153.11-0.07 0.47 8 1 180.03 9 1 206.95 10 1 233.86 m1 26.92 b-35.32 Quadratic Fit X ycalc x 1 XBeta X T (X T X)-1 Beta = (X T X)-1 X T yexp X T x 2 (X T X)-1 2 4 6 8-50 50 100 150 200 250 300 Regression Column B Column C X Y m1 m2 b Beta = (X T X)-1 X T yexp 7 8 9 10 1 1 1 1 10 12...
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This note was uploaded on 04/30/2008 for the course C&PE 121 taught by Professor Howat during the Spring '08 term at Kansas.

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CPE121 Lect04Inclass S08 (version 1) - 1 2 3 4 5 6 2 1...

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