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. [211 a12 a13] a11 a12 -5 3 2 az1 a2 a3 aí an -2 -3 -1 a31 a32 a33 a31 az2 - 4 3 - 5 3 2 -2 -3 -1=L - 4 2 3

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. [211 a12 a13] a11 a12 -5 3 2 az1 a2 a3 aí an -2 -3 -1 a31 a32 a33 a31 az2 - 4 3 - 5 3 2 -2 -3 -1=L - 4 2 3

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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