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

Algebra and Trigonometry (6th Edition)
6th Edition
ISBN:9780134463216
Author:Robert F. Blitzer
Publisher:Robert F. Blitzer
ChapterP: Prerequisites: Fundamental Concepts Of Algebra
Section: Chapter Questions
Problem 1MCCP: In Exercises 1-25, simplify the given expression or perform the indicated operation (and simplify,...
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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.
[311 a12 a13] a11 a12
- 5
3
a21 a2 a23 àzí a22
-2 -3 - 1
a31 a32 a33 a31 a32
- 4
2
3
- 5
3
2
- 2 -3 -1=
3
- 4
2
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. [311 a12 a13] a11 a12 - 5 3 a21 a2 a23 àzí a22 -2 -3 - 1 a31 a32 a33 a31 a32 - 4 2 3 - 5 3 2 - 2 -3 -1= 3 - 4 2
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