Elementary Linear Algebra (Classic Version) (2nd Edition) (Pearson Modern Classics for Advanced Mathematics Series)
2nd Edition
ISBN: 9780134689470
Author: Lawrence E Spence, Arnold J Insel, Stephen H Friedberg
Publisher: PEARSON
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Textbook Question
Chapter 3.1, Problem 3E
In Exercises 1–8, computer the determinant of each matrix.
3.
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In Exercises 26–34, use properties of determinants toevaluate the given determinant by inspection. Explainyour reasoning
Please show all work
In Exercises 5–8, use the definition of Ax to write the matrix equation as a
vector equation, or vice versa.
5.
5 1 8 4
-2 -7 3 −5
5
-1
3
-2
=
-8
-
[18]
16
In Exercises 46-51, evaluate each determinant.
3 2
46.
1
-2
47.
-4
4
48.
1
-1
49. -5
4
1
2
1
50.
51.
0
1
3.
O N 4O
2.
Chapter 3 Solutions
Elementary Linear Algebra (Classic Version) (2nd Edition) (Pearson Modern Classics for Advanced Mathematics Series)
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- Explain the difference between a square matrix and its determinant. Give an example of each.arrow_forwardEvaluate each determinant in Exercises 1-10. 1. 5 7 2. 4 5 6 8 3 3. -4 1 4. 7 9. 6. -2 -5 5. -7 14 1 3 -4 -8 2 7. -5 8. -2 9. 10. 2 6. 2. 2. -IN-10arrow_forwardIn Exercises 19–22, evaluate the (4X4) determinants. Theorems 6–8 can be used to simplify the calculations.arrow_forward
- 0 7.) Find the the determinant matrix. 당arrow_forwardFind the determinants in Exercises 5–10 by row reduction to echelon form. just number 7arrow_forward3. row Compute the determinant of the matrix. Show all your work including which operations and cofactor expansions you are performing. ow!! ! NOO 0 4 1 -1 0 4 -3 1 -2arrow_forward
- 7. Using determinants, find the area of the triangle whose vertices are (-1,1), (2,2), and (-2,4). Write your entire procedure explicitly and in detail.arrow_forward-5 Diagonalize A if possible or explain why the matrix A is not -3. -1 7 7. Let A -4 11 -4 8 diagonalizable.arrow_forwardFind the determinant of the matrix. -4 6 2. -/2arrow_forward
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