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: a31 a32 a33 a31 d32 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. 4 -5

Advanced Engineering Mathematics
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Chapter2: Second-order Linear Odes
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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:
a31 a32 a33 a31 d32
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.
4 -5
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: a31 a32 a33 a31 d32 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. 4 -5
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