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Chapter 3: Determinants

Expert-verified
Linear Algebra and its Applications
Pages: 165 - 190
Linear Algebra and its Applications

Linear Algebra and its Applications

Book edition 5th
Author(s) David C. Lay, Steven R. Lay and Judi J. McDonald
Pages 483 pages
ISBN 978-03219822384

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119 Questions for Chapter 3: Determinants

  1. Find the determinants in Exercises 5-10 by row reduction to echelon form.

    Found on Page 165
  2. Compute the determinant in Exercise 10 by cofactor expansions. At each step, choose a row or column that involves the least amount of computation.

    Found on Page 165
  3. Question: In Exercise 10, determine the values of the parameter s for which the system has a unique solution, and describe the solution.

    Found on Page 165
  4. Compute the determinants in Exercises 9-14 by cofactor expnasions. At each step, choose a row or column that involves the least amount of computation.

    Found on Page 165
  5. Question: In Exercise 11, compute the adjugate of the given matrix, and then use Theorem 8 to give the inverse of the matrix.

    Found on Page 165
  6. Combine the methods of row reduction and cofactor expansion to compute the determinant in Exercise 11.

    Found on Page 165
  7. Question: 11. Find the area of the parallelogram determined by the points \(\left( {1,4} \right),\)\(\left( { - 1,5} \right),\)\(\left( {3,9} \right),\) and \(\left( {5,8} \right)\). How can you tell that the quadrilateral determined by the points is actually a parallelogram?

    Found on Page 165
  8. Question: In Exercise 12, compute the adjugate of the given matrix, and then use Theorem 8 to give the inverse of the matrix.

    Found on Page 165
  9. Compute the determinants in Exercises 9-14 by cofactor expnasions. At each step, choose a row or column that involves the least amount of computation.

    Found on Page 165
  10. Combine the methods of row reduction and cofactor expansion to compute the determinant in Exercise 12.

    Found on Page 165

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