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 al and subtract the upward products. Use this method to compute the following determinant. ral a12 a137 a11 a12 5 -3 1 a21 a22 a23 azí a2 -3 4 -5 a31 a32 a33 a31 à32 1 1 5 -4 , the ains 5 -3 4 -5= 1 5 - 4 Step 2 Next, refl aid

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 al and subtract the upward products. Use this method to compute the following determinant. ral a12 a137 a11 a12 5 -3 1 a21 a22 a23 azí a2 -3 4 -5 a31 a32 a33 a31 à32 1 1 5 -4 , the ains 5 -3 4 -5= 1 5 - 4 Step 2 Next, refl aid

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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The determinant of a 22 matrix involves two products. The determinant of a 33 matrix involves six triple products. Show that the determinant of a 44 matrix involves 24 quadruple products.
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