Math Is Fun Forum

freddogtgj

Member

Registered: 2006-12-02

Posts: 54

Linear Algebra help needed!

Here's the question:
Consider the following vectors in R³:

Show that

are ordered bases for R³.

Ricky

Moderator

Registered: 2005-12-04

Posts: 3,791

Re: Linear Algebra help needed!

First, show linear independence.  This is pretty simple, you just go by the standard definition, sum each vector with a different coefficient in front setting it equal to 0 and show that the coefficients must equal 0.  Once you do this, you can claim you are done.  Why?

---

"In the real world, this would be a problem.  But in mathematics, we can just define a place where this problem doesn't exist.  So we'll go ahead and do that now..."