Determinants - ME 210 Applied Mathematics for Mechanical...

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ME – 210 Applied Mathematics for Mechanical Engineers Prof. Dr. Faruk Arınç Spring 2010 Determinants, Minors, and Cofactors Determinant : It is a scalar quantity and defined only for square arrays. Every square array A of size n has a unique determinant value D and it is shown as A a a a a a a a a a D nn 2 n 1 n n 2 22 21 n 1 12 11 = =
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ME – 210 Applied Mathematics for Mechanical Engineers Prof. Dr. Faruk Arınç Spring 2010 Minor : It is a determinant of an array, which is one lower size than the array of an original determinant. A minor is always associated with only one of the elements of an original array. Its array is obtained by deleting the row and column of the original array containing that particular element; that is the minor M ij of the element a ij of an array of size n is the determinant of the array of size n–1, which is formed by deleting the i th row and j th column of the original array.
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This note was uploaded on 07/31/2011 for the course ME 210 taught by Professor Farukarinç during the Spring '09 term at Middle East Technical University.

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Determinants - ME 210 Applied Mathematics for Mechanical...

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