Math 260, Fall 2019, Assignment 13

"Reeling and Writhing, of course, to begin with," the Mock Turtle replied; "And then the different branches of Arithmetic - Ambition, Distraction, Uglification, and Derision."

- Lewis Carroll, Alice's Adventures in Wonderland

Read:

1. Section 6.2.

Carefully state the following theorems (you do not need to prove them):

1. Linearity of the determinant in rows.
2. Alternation of the determinant in rows.
3. Normalization of the determinant.
4. Theorem concerning determinants with repeated rows.
5. Theorem concerning determinants with rows of zeroes.
6. Theorem concerning the effects of elementary row operations on determinants.

Solve the following problems:

1. Section 6.2, problems 1, 3, 5, 7, 9, 11, 13, and 15.

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