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Unformatted text preview: We can generalize the idea for fourthorder determinants and higher. We have seen that the minor of the element a is the determinant obtained by deleting the ith row and the jth column in the given array of numbers i j . The cofactor of the element a is (1) times the minor of the a entry. If the sum of the row and column (i+j) is even, the cofactor is the same as the minor. If the sum of the row and column i j i j ij th + (i+j) is odd, the cofactor is the opposite of the minor. Example Evaluate the determinant of the following matrix. Notice that you can use either the third or the fourth columns. 1 2 1 2 1 2 1 1 3 1 1    (a) (b) (c) (d) Evaluate the determinant 3 2 1 4  14 10 8 11(a) (b) (c) (d) Use Cramer's Rule to solve the linear systems.x+2y=7 2x2y=4 ( 1,2) (2, 2) (3,4) (3,5)...
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This document was uploaded on 10/26/2011 for the course FKP bmfp at UTEM Chile.
 Fall '11
 jayjohn

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