combinepdf-min-0197.pdf

# combinepdf-min-0197.pdf - Notes on linear algebra(Monday...

• Test Prep
• 1

This preview shows page 1 out of 1 page.

You've reached the end of this preview.

Unformatted text preview: Notes on linear algebra (Monday 17th October, 2016, 23:10) page 44 will matter, so let me discuss it brieﬂy. (See any book on abstract algebra for a more detailed and systematic discussion.) First, let me introduce some well-known sets: 0 As explained above, 1N means the set of all nonnegative integers: ]N = {0,1,2,...}. 0 Furthermore, Z means the set of all integers: Z = {. . . , —2, —1, O, 1, 2,. . ..} o Moreover, Q means the set of all rational numbers: Q = {g | a E Z, l? E Z \ {0}}. 0 Furthermore, IR means the set of all real numbers. This contains rational 5 numbers such as —2 and —, but also irrational numbers such as x/E and 3 \/§ 1 + \3/3 and 7T (and various others, many of which cannot even be described in words 21). :- Finally, C means the set of all complex numbers. They will be rarely used in these notes (indeed, most of linear algebra can be done without them, ex- cept for eigenvalue/ eigenvector theory), so you do not actually have to know them in order to read these notes. However, let me give a quick brieﬁng on ...
View Full Document

• Spring '13
• Greene

{[ snackBarMessage ]}

### What students are saying

• 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.

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

• 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.

Dana University of Pennsylvania ‘17, Course Hero Intern

• 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.

Jill Tulane University ‘16, Course Hero Intern