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 a13] a11 a12 1 -5 -3 a21 a22 a23 a2í a22 -5 4 -4 a31 a32 a33 a31 a32 - 2 2 3 -1 -5 -3 - 5 4 - 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. [a11 ª12 a13] a11 a12 1 -5 -3 a21 a22 a23 a2í a22 -5 4 -4 a31 a32 a33 a31 a32 - 2 2 3 -1 -5 -3 - 5 4 - 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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![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 a13] a11 a12
- 1
- 5
- 3
a21 a22 a23 a2í a22
- 5
4
- 4
a31 a32 a33 a31 a32
- 2
2
- 1
- 5
- 3
- 5
4
- 4=
- 2
2.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F0f84b485-5d6d-484c-881f-5450394bcf53%2F193f0c8f-50b2-45e7-9921-b402ef86dd1c%2F78i3v4_processed.png&w=3840&q=75)
Transcribed Image Text: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 a13] a11 a12
- 1
- 5
- 3
a21 a22 a23 a2í a22
- 5
4
- 4
a31 a32 a33 a31 a32
- 2
2
- 1
- 5
- 3
- 5
4
- 4=
- 2
2.
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