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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. - 1 2 3 034 -550 - 1 2 3 0 34 = -550 IK a11 12 13 11 12 a21 22 23 21 22 a31 232 233 231 232 "

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. - 1 2 3 034 -550 - 1 2 3 0 34 = -550 IK a11 12 13 11 12 a21 22 23 21 22 a31 232 233 231 232 "

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 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. - 1 2 3 034 -550 - 1 2 3 034 -550 's a11 212 213 ²11 ²12 322 a31 32 33 31 32 a21 22 23 21
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. - 1 2 3 034 -550 - 1 2 3 034 -550 's a11 212 213 ²11 ²12 322 a31 32 33 31 32 a21 22 23 21
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