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. ra11 a12 a13] a11 a12 3 25 a21 a22 a23 azí a22 2 3 0 a31 a32 a33 a31 a32 - 4 0 1 3 25 2 3 0 = - 4 0 1

Algebra and Trigonometry (MindTap Course List)
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Chapter11: Matrices And Determinants
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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.
a11 a12 a13] a1í
a12
3 2 5
a21
a22 a23 a21
a22
2 3 0
a31
a32
a33
a31
a32
- 4 0 1
3 2 5
2 3 0 =
- 4 0 1
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. a11 a12 a13] a1í a12 3 2 5 a21 a22 a23 a21 a22 2 3 0 a31 a32 a33 a31 a32 - 4 0 1 3 2 5 2 3 0 = - 4 0 1
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