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Exercise 4.2.28

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The matrix $E_{1}$ can be obtained from $I$ by interchanging two rows. So by Theorem 4.5, the determinant should be $- 1$ . The matrix $E_{2}$ is upper triangular. By Exercise 4.2.23, the determinant should be $c$ , the scalar by whom some row was multiplied. The matrix $E_{3}$ has determinant $1$ by Theorem 4.6.

jephianlin

2011-06-27 00:00

Exercise 4.2.28

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