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Solved: The expansion of a 3 × 3 determinant can be
Chapter 3, Problem 18E(choose chapter or problem)
The expansion of a 3 × 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: 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 × 4 or larger matrices.
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QUESTION:
The expansion of a 3 × 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: 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 × 4 or larger matrices.
ANSWER:Solution 18EConsider the matrix :Write a second copy of the first two columns to the right of the matrix and compute the determinant