- #1

flyingpig

- 2,579

- 1

## Homework Statement

http://img703.imageshack.us/img703/4489/unledzh.th.png

Uploaded with ImageShack.us

## The Attempt at a Solution

a)

Ax = λx

Ax = x

Ax - x = 0

(A - I)x = 0

I set up my matrix

[PLAIN]http://www3.wolframalpha.com/Calculate/MSP/MSP154819f61i5gh6d9fed500006aa20fbb6bgf59g1?MSPStoreType=image/gif&s=17&w=207&h=56

RowReduced it and I got

[PLAIN]http://www3.wolframalpha.com/Calculate/MSP/MSP155119f61i5gh6d9fed50000387i4eb69hc6g67e?MSPStoreType=image/gif&s=17&w=80&h=56

Because this matrix is linearly dependent (can I say the "set is linearly dependent?" I have trouble with these names like "set", "systems"), 1 is an eigenvalue.

b) I know I could just do it the long way, but is there a faster way? Because this is not in triangular form

Last edited by a moderator: