The expansion of a 3x3 determinant can be remembered by this device. Write a second copy of the first two columns to the right of the matrix, and compute the determinant by multiplying entries on six diagonals. Add the downward diagonal products and subtract the upward products. Use this method to compute the following determinant. ra1 a12 a13] a11 a12 3 - 5 a21 a22 a23 a21 a22 2 - 1 - 4 a31 a32 a33 a31 a32 1 3 3 -5 2 -1 -4%3D 1

The expansion of a 3x3 determinant can be remembered by this device. Write a second copy of the first two columns to the right of the matrix, and compute the determinant by multiplying entries on six diagonals. Add the downward diagonal products and subtract the upward products. Use this method to compute the following determinant. ra1 a12 a13] a11 a12 3 - 5 a21 a22 a23 a21 a22 2 - 1 - 4 a31 a32 a33 a31 a32 1 3 3 -5 2 -1 -4%3D 1

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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