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 tight of the matrix, and compute the determinant by multiplying entries on six diagonals:
Add the downward diagonal products and subtract the up-ward products. Use this method to compute the determinants in Exercises 15–18. Warning: This trick does not generalize in any reasonable way to 4 × 4 or larger matrices.
18.
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Chapter 3 Solutions
Linear Algebra And Its Applications
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Beginning and Intermediate Algebra (6th Edition)
Elementary and Intermediate Algebra
Differential Equations and Linear Algebra (4th Edition)
Linear Algebra with Applications (2-Download)
- In Exercises 27–32, evaluate the determinant of the given matrix by inspection.arrow_forwardIn Exercises 26–34, use properties of determinants toevaluate the given determinant by inspection. Explainyour reasoning Please show all workarrow_forwardCompute the determinants in Exercises 1–8 using a cofactor expansion across the first row. In Exercises 1–4, also compute the determinant by a cofactor expansion down the second column. just number 5arrow_forward
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