1.3.1 |
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1.3.2 |
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Higher-order determinants are natural generalizations. The minor
of the entry in the th-order determinant
is the ()th-order determinant derived from by deleting
the th row and the th column. The cofactor
of is
An th-order determinant expanded by its th row is given by
1.3.4 |
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If two rows (or columns) of a determinant are interchanged, then the
determinant changes sign. If two rows (columns) of a determinant are
identical, then the determinant is zero. If all the elements of a row (column)
of a determinant are multiplied by an arbitrary factor , then the result
is a determinant which is times the original. If times a row
(column) of a determinant is added to another row (column), then the value of
the determinant is unchanged.
1.3.5 |
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1.3.6 |
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1.3.7 |
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