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k-Matrix


A k-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].

It satisfies

 k^3=I,

where I is the identity matrix.


See also

Complex Matrix, Cube Root, Identity Matrix, Matrix Cube Root, Matrix Power, Matrix Square Root, Quaternion

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Cite this as:

Weisstein, Eric W. "k-Matrix." From MathWorld--A Wolfram Web Resource. https://mathworld.wolfram.com/k-Matrix.html

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