# Linear Transformation Matrix

• March 30th 2009, 07:52 PM
flaming
Linear Transformation Matrix
Let v be a fixed vector in http://www.mathhelpforum.com/math-he...005b84a8-1.gif. T(u) = v x u is a linear transformation.

If v = i for the transformation above. How do I find the matrix for this linear Transformation
• March 30th 2009, 08:06 PM
TheEmptySet
Quote:

Originally Posted by flaming
Let v be a fixed vector in http://www.mathhelpforum.com/math-he...005b84a8-1.gif. T(u) = v x u is a linear transformation.

If v = i for the transformation above. How do I find the matrix for this linear Transformation

You would need to find the transform of each of the basis vectors and these will be the columns of your matrix

[T(i)|T(j)|T(k)]

Note that $T(i)=0,T(j)=k,T(k)=j$

$\begin {bmatrix}
0 & 0 & 0 \\
0 & 0 & 1 \\
0 & 1 & 0 \\

\end {bmatrix}$