combinepdf-min-0293.pdf - Notes on linear algebra(Monday...

This preview shows page 1 out of 1 page.

Image of page 1
You've reached the end of this preview.

Unformatted text preview: Notes on linear algebra (Monday 17th October, 2016, 23:10) page 140 Proposition 3.114. Let n E N. Then, there are precisely a! permutation matrices of size a x :1. (Recall that a! denotes the number 1 - 2 - 3 ----- a; it is called the “factorial of a”. For instance, 5! = 1 -2 - 3 - 4 - 5 : 120.) We will outline a proof of Proposition 3.114 in Section 3.21. Example 3.115. Proposition 3.114 (applied to n = 3) says that there are precisely 3! = 6 permutation matrices of size 3 X 3. Here are they: 1 13:0 0 0 TLBZO 1 0 1 010 A21 OIf 3:001. 010 100 The two last matrices, which I have here denoted by A and B, are neither the CDC} GHQ GHQ CDCJH \_______/ 5'] Lu || /""—"‘\ ...
View Full Document

{[ snackBarMessage ]}

What students are saying

  • Left Quote Icon

    As a current student on this bumpy collegiate pathway, I stumbled upon Course Hero, where I can find study resources for nearly all my courses, get online help from tutors 24/7, and even share my old projects, papers, and lecture notes with other students.

    Student Picture

    Kiran Temple University Fox School of Business ‘17, Course Hero Intern

  • Left Quote Icon

    I cannot even describe how much Course Hero helped me this summer. It’s truly become something I can always rely on and help me. In the end, I was not only able to survive summer classes, but I was able to thrive thanks to Course Hero.

    Student Picture

    Dana University of Pennsylvania ‘17, Course Hero Intern

  • Left Quote Icon

    The ability to access any university’s resources through Course Hero proved invaluable in my case. I was behind on Tulane coursework and actually used UCLA’s materials to help me move forward and get everything together on time.

    Student Picture

    Jill Tulane University ‘16, Course Hero Intern