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:

(sorry for my BAD English)

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- April 1st 2007, 05:45 AMT-MacMapping 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:

(sorry for my BAD English) - April 1st 2007, 07:47 AMThePerfectHacker
- April 1st 2007, 09:22 AMtopsquark
- April 1st 2007, 01:37 PMT-Mac
topsquark, yes.

- April 1st 2007, 02:23 PMJhevon
now i'm a little rusty on linear algebra, so correct me if i'm wrong. you said topsqaurk was right, so we are given that:

L(2, -3, -5) = (0, 4, 8)

L(0, 4, 8) = (2, 9, 2)

however, the standard matrix for L will be a 3x3 matrix, and therefore, we need at least 3 examples of transformations to find it.

unless there was some other way which i am not remembering at the moment