# Math Help - Linear Transformation Matrix

1. ## Linear Transformation Matrix

Let v be a fixed vector in . 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

2. Originally Posted by flaming
Let v be a fixed vector in . 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}$