2. The determinant of a 2 by 2 matrix is given in terms of the elements of the ma- trix. The determinant of any n by n matrix is then defined from this with the definition using cofactors. Use these definitions to show that the so-called 'di- agonal method' gives the correct answer for the determinant of a 3 by 3 matrix.

2. The determinant of a 2 by 2 matrix is given in terms of the elements of the ma- trix. The determinant of any n by n matrix is then defined from this with the definition using cofactors. Use these definitions to show that the so-called 'di- agonal method' gives the correct answer for the determinant of a 3 by 3 matrix.

Elementary Linear Algebra (MindTap Course List)

8th Edition

ISBN:9781305658004

Author:Ron Larson

Publisher:Ron Larson

Chapter3: Determinants

Section3.1: The Determinants Of A Matrix

Problem 70E: The determinant of a 22 matrix involves two products. The determinant of a 33 matrix involves six...

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