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Determinant

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

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

The determinant of an n × n matrix A = [aij] is defined inductively by the formula MATHwhere Aij is the i,j-cofactor---the determinant of the matrix obtained by removing the ith row and the jth column, multiplied by (-1)i+j. Any row (1 ≤ i ≤ n) can be used in the computation.

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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.

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