A 
-matrix is a kind of cube
root of the identity matrix (distinct from
the identity matrix) which is defined by the complex matrix
![k=[0 0 -i; i 0 0; 0 1 0].](/images/equations/k-Matrix/NumberedEquation1.svg) |
It satisfies
 |
where 
is the identity
matrix.
k-Matrix
See also
Complex Matrix, Cube Root, Identity Matrix, Matrix Cube Root, Matrix Power, Matrix Square Root, QuaternionExplore with Wolfram|Alpha
Cite this as:
Weisstein, Eric W. "k-Matrix." From MathWorld--A Wolfram Web Resource. https://mathworld.wolfram.com/k-Matrix.html