# Mapping vector spaces

• Apr 1st 2007, 04:45 AM
T-Mac
Mapping vector spaces
Hi!

I have a problem with this math task:

Linear transformation maps basic vectors to vectors (2,−3,−5), (0, 4, 8) and (2, 9, 2).
In which vector (vx, vy, vz) does vector (-3, 9, -1) maps?
:confused:

• Apr 1st 2007, 06:47 AM
ThePerfectHacker
Quote:

Originally Posted by T-Mac
Hi!

I have a problem with this math task:

Linear transformation maps basic vectors to vectors (2,−3,−5), (0, 4, 8) and (2, 9, 2).
In which vector (vx, vy, vz) does vector (-3, 9, -1) maps?
:confused:

I do not understand the problem.
• Apr 1st 2007, 08:22 AM
topsquark
Quote:

Originally Posted by T-Mac
Hi!

I have a problem with this math task:

Linear transformation maps basic vectors to vectors (2,−3,−5), (0, 4, 8) and (2, 9, 2).
In which vector (vx, vy, vz) does vector (-3, 9, -1) maps?
:confused:

You are looking for a linear transformation L that takes
L(2, -3, -5) = (0, 4, 8)
L(0, 4, 8) = (2, 9, 2)

and looking for the vector v = (vx, vy, vz) such that
L(vx, vy, vz) = (-3, 9, -1)

Is this correct?

-Dan
• Apr 1st 2007, 12:37 PM
T-Mac
topsquark, yes.
• Apr 1st 2007, 01:23 PM
Jhevon
Quote:

Originally Posted by T-Mac
Hi!

I have a problem with this math task:

Linear transformation maps basic vectors to vectors (2,−3,−5), (0, 4, 8) and (2, 9, 2).
In which vector (vx, vy, vz) does vector (-3, 9, -1) maps?
:confused: