Math Is Fun Forum
  Discussion about math, puzzles, games and fun.   Useful symbols: √ ∞ ≠ ≤ ≥ ≈ ⇒ ∈ Δ θ ∴ ∑ ∫ π -

Login

Username

Password

Not registered yet?

#1 2012-08-16 22:13:01

limpfisch
Member

Offline

Change of basis of matricies.

Let B= {(2 -1),(3 -1)
Let C= {(1 2),(2 3)

Find the change of basis matrix from C to B.

I've been sick the last week so haven't attended lectures and have an assignment due. The notes for this course are terrible and do not help me with this so please explain how to do this thanks.

Last edited by limpfisch (2012-08-16 22:13:39)

#2 2012-08-16 23:06:14

bob bundy
Moderator

Offline

Re: Change of basis of matricies.

hi limpfisch,

It's a looooong time since I did this so I'm having to drag this up from deep memory.

A pair of vectors form a basis (let's say for C) if you can always find scalars so that



In the new basis



So you need these to be equal.



times by the inverse of the right hand matrix



gives



So, coordinates in the old basis are turned into coordinates in the new basis by this matrix.

Hopefully that is correct ... fingers crossed ...

Bob


You cannot teach a man anything;  you can only help him find it within himself..........Galileo Galilei

Board footer

Powered by FluxBB