MAS 801 It's a Discreetly Discrete World – Mathematics in ... - Spms
MAS 801 It's a Discreetly Discrete World – Mathematics in ... - Spms
MAS 801 It's a Discreetly Discrete World – Mathematics in ... - Spms
You also want an ePaper? Increase the reach of your titles
YUMPU automatically turns print PDFs into web optimized ePapers that Google loves.
Some L<strong>in</strong>ear Algebra<br />
• Given an n x n matrix A, we can f<strong>in</strong>d nonzero vectors x such that<br />
• Ax = λx<br />
• x is called an eigenvector of A<br />
• λ is called an eigenvalue of A<br />
• To tie x and λ together, we say that x is the eigenvector correspond<strong>in</strong>g<br />
to λ<br />
• Example<br />
A x λ x<br />
3 1<br />
1 3<br />
1<br />
1<br />
4<br />
= = 4<br />
4<br />
1<br />
1<br />
• 4 is an eigenvalue of A and is an eigenvector correspond<strong>in</strong>g to 4<br />
1<br />
1
Change language