CALCULUS Understanding Its Concepts and Methods
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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 = [aij] is defined inductively by the formula where 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.