21-241 Matrix Algebra
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# Assignments: Week #7

• Monday: Section 4.2. (Also see posted notes on Determinants, section 5.2 Cofactor Expansion - Introduction.)
• Wednesday: Section 4.2. (Also see posted notes on Determinants, section 5.3 The Laplace Expansion Formula.)
• Friday: Section 4.2. (Also see posted notes on Determinants, section 5.3 The Laplace Expansion Formula.)

## Exercises:

• Wednesday: WeBWorK: Week #7 - Online Assignemnt
• Friday: Week #7 - Written Assignment  Section 3.1 #26. Prove Proposition 5.5: The determinant is a linear function of each row of a matrix, when the other rows are held constant. (Write it out the way I did with the proof of Proposition 5.) Prove Proposition 7: If A is a triangular matrix (upper triangular or lower triangular) then det(A) is the product of the entries on the main diagonal. (Use row operations and properties of the determinant.) Section 4.2 #56. Section 4.2 #69.

Homework assignments may be turned in before or after class on the due day, or may be placed in your TA's mailbox before 3:20pm on that day. The TA's mailboxes are in the Math Department office, WEH 6113.

Please make sure your homework includes the following:

1. Your name (on every page if you ignore #4.),
2. Your class section,
3. The names of those students with whom you have collaborated,
4. a staple.