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. a11 a12 a131 a1í a11 2 -1 a21 a2 a23 ai a2 a31 a32 a33 a31 à32 0 - 3 - 5 2 - 1 4 4 =0 0 -3 -5 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. a11 a12 a131 a1í a11 2 -1 a21 a2 a23 ai a2 a31 a32 a33 a31 à32 0 - 3 - 5 2 - 1 4 4 =0 0 -3 -5 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...

See similar textbooks

Similar questions

Evaluate the determinant |324012231| , by expanding by minors along the first row.
Find the determinant of the matrix. [4032013501511103]
Explain what it means in terms of an inverse for a matrix to have a 0 determinant.
TEST Only one of the following matrix has an inverse. Find the determinant of each matrix, and use the determinant to identify the one that has an inverse. Then find the inverse. A=[141020101] B=[140020301]
Evaluate the determinant |213122440| by expanding by minors.