Elementary Linear Algebra 6e - Larson, Edwards, Falvo - Chapter 3 MATLAB - Determinants

# Elementary Linear Algebra 6e - Larson, Edwards, Falvo - Chapter 3 MATLAB - Determinants

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CHAPTER 3 MATLAB EXERCISES 3–1 CHAPTER 3 MATLAB EXERCISES 1. Use MATLAB to calculate the determinants of the following matrices. (a) (b) (c) (d) 2. Let Use the MATLAB determinant command det to compute Find an integer value of t such that 3. Choose arbitrary matrices A and B . Compute and What do you ob- serve? Do the same for and 4. Choose an arbitrary real number t . Form the matrix and calculate its determinant. Does the value of the determinant depend on t? 5. Consider the matrices and (a) Verify that (b) Verify that (c) Verify that 6. In this exercise, we will use Cramer’s Rule to solve the linear system from Example 3, Section 3.4. Let and be the coefficient matrix and the right-hand side, respectively. To form the matrix , we need to replace the first column of A with b. To do this, type The solution is obtained by typing You can calculate in a similar manner.
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Unformatted text preview: 7. Use the Cramer’s Rule algorithm from Exercise 6 to solve the following linear system. Compare your answer with that obtained using rref. 2 x 1 5 y 1 4 z 5 3 x 1 y 1 4 z 5 2 2 3 x 1 3 y 1 4 z 5 2 det x A2 c / det x A c A2 x :, [ 2 ] c 5 b A2 5 A x 2 det x A1 c / det x A c x 1 A1 x :, [ 1 ] c 5 b A1 5 A A 1 b 5 3 10 11 4 A 5 3 4 3 2 2 2 5 4 A x 5 b det s A 2 1 d 5 1 y det s A d . det s A T d 5 det s A d . det s A d det s B d 5 det s AB d . B 5 3 2 3 2 1 2 1 2 2 4 3 1 4 . A 5 3 2 1 3 2 1 1 1 2 1 4 A 5 3 cos s t d 2 sin s t d sin s t d cos s t d 4 det s A 1 B d . det s A d 1 det s B d det s AB d . det s B d , det s A d 4 3 4 det s tI 2 A d 5 0. det s 2 p eye s 2 d 2 A d . A 5 3 1 2 4 2 1 4 . hilb s 8 d pascal s 4 d 3 2 5 4 6 2 1 7 2 2 3 4 3 2 2 6 2 3 9 4...
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## This note was uploaded on 02/24/2012 for the course MATH 310 taught by Professor Staff during the Spring '08 term at VCU.

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