DETERMINANT definition and origin.

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Presentation transcript:

DETERMINANT definition and origin

( ) = ad - bc a c b d Associated with every square matrix A there is a number called the determinant of A. The definition of the determinant of a 22 matrix follows: ( a c ) b d = ad - bc det

( ) = ad - bc a c b d Associated with every square matrix A there is a number called the determinant of A. The definition of the determinant of a 22 matrix follows: ( a c ) b d = ad - bc det

( ) = ad - bc a c b d Associated with every square matrix A there is a number called the determinant of A. The definition of the determinant of a 22 matrix follows: ( a c ) b d = ad - bc det

The concept “determinant” arose from early attempts to generalize the process of solving systems of linear equations. Consider the following:

replace x coordinates with replace y coordinates with j k j k

DETERMINANT The following presentation entitled will outline the algorithm for evaluating the determinant of a 33 matrix