Page 509 - Thomson, William Tyrrell-Theory of Vibration with Applications-Taylor _ Francis (2010)

Determinants

and Matrices

C.1 DETERMINANT

A determinant of the second order and its numerical evaluation are defined by the
following notation and operation

a b
D = = ad — be
c d
An nth-order determinant has n rows and n columns, and in order to
identify the position of its elements, the following notation is adopted:

«ii n,2 «13
^21 ^22 ^23

^n\ ^n2 ^n?>

Minors

A minor M^- of the element is a determinant formed by deleting the ith row
and the jih column from the original determinant.

Cofactor

The cofactor C^j of the element a^j is defined by the equation

C,,- = ( -

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