The expansion of a 3 x3 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. ra1 12 131 1f 12 a1 2 3 21 22 331 32 33 a31 332 -1 3 1 - 4 4 -4 1-2 - 1 3 1 -4 4 1-21

Algebra and Trigonometry (MindTap Course List)
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Author:James Stewart, Lothar Redlin, Saleem Watson
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Chapter11: Matrices And Determinants
Section11.CR: Chapter Review
Problem 11CC
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The expansion of a 3 x3 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.
[a1 12 131 1f 12
a1 2 3 1 a22
a31 332 333
a31
32
3
1 - 4
4
-4
1-2
-1
3
1 -4
4
1-2
1.
Transcribed Image Text:The expansion of a 3 x3 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. [a1 12 131 1f 12 a1 2 3 1 a22 a31 332 333 a31 32 3 1 - 4 4 -4 1-2 -1 3 1 -4 4 1-2 1.
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