CALCULUS Understanding Its Concepts and Methods

Determinant

The determinant of a
2 × 2
matrix
is defined by the formula
*ad* -
*bc*.
It is denoted by vertical brackets,
so

The determinant of a 3 × 3 matrix is defined by the formula , or

The
determinant of an
*n* × *
n*
matrix
*A* = [*a _{ij}*]
is defined inductively by the formula
where

.

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Copyright © 2006 Darel Hardy, Fred Richman, Carol Walker, Robert Wisner. All rights reserved. Except upon the express prior permission in writing, from the authors, no part of this work may be reproduced, transcribed, stored electronically, or transmitted in any form by any method.