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The expansion of a 3 x 3 determinant can be remembered by the following 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: [a1 a12 d13, au 412 Add the downward diagonal products and subtract the upward products. Use this method to compute the determinants in Exercises. Warning: This trick does not generalize in any reasonable way to 4 x 4 or larger matrices. 2 -3 3 3 -1

The expansion of a 3 x 3 determinant can be remembered by the following 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: [a1 a12 d13, au 412 Add the downward diagonal products and subtract the upward products. Use this method to compute the determinants in Exercises. Warning: This trick does not generalize in any reasonable way to 4 x 4 or larger matrices. 2 -3 3 3 -1

Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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The expansion of a 3 x 3 determinant can be remembered by the following 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: [a1 a12 d13, au 412 Add the downward diagonal products and subtract the upward products. Use this method to compute the determinants in Exercises. Warning: This trick does not generalize in any reasonable way to 4 x 4 or larger matrices. 2 -3 3 3 -1
Transcribed Image Text:The expansion of a 3 x 3 determinant can be remembered by the following 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: [a1 a12 d13, au 412 Add the downward diagonal products and subtract the upward products. Use this method to compute the determinants in Exercises. Warning: This trick does not generalize in any reasonable way to 4 x 4 or larger matrices. 2 -3 3 3 -1
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