Lecture 4 Printed Notes

Lecture 4 Printed Notes

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Unformatted text preview: of the derivative is avoided by using two starting values, x0 and x1! € Matrix Algebra A matrix is a rectangular array of numbers in which not only the value of the number is important, but also its position in the array. It is very easy to solve a system of linear equations using matrices. ⎡ྎ a11 ⎢ྎa A = ⎢ྎ 21 ⎢ྎ ⎢ྎ ⎣ྏan1 a12 a22 an 2 … a1m ⎤ྏ … a2 m ⎥ྏ ⎥ྏ = [a ] ij ⎥ྏ ⎥ྏ … anm ⎦ྏ ⎧ྏ i = 1, 2, , n for ⎨ྏ ⎩ྏ j = 1, 2, , m aij → ' i ' denotes the ' row ' position. ' j ' denotes the ' column ' position. i) Matrix Addition Two matrices of the same size may be added or subtracted. C=A +B [cij ] = [aij ] + [bij ] ⎡ྎ3 2⎤ྏ A = ⎢ྎ ⎥ྏ ...
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This note was uploaded on 12/14/2011 for the course ME 218 taught by Professor Unknown during the Fall '08 term at University of Texas at Austin.

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