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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.
 Fall '08
 Unknown

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