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'''A'''·'''B''' = '''B'''·'''A''' = '''I'''
== Example 3. ==
Consider <math>[\mathbf {A}]_N</math>
be 2x2 block matrices of order <math>N=2p</math>
:<math>
[\mathbf {A}]_N= \left[ \begin{array}{rrrr} \mathbf {A}_0 \\ \mathbf {A}_1 \\ \mathbf {A}_1 \\ \mathbf {A}_0 \\ \end{array} \right],</math>.
If <math>[\mathbf {A}_0]_p</math> and <math>[\mathbf {A}_1]_p</math> are pxp Jacket matrix, then <math>[A]_N</math> is a block circulant matrix if and only if <math>\mathbf {A}_0 \mathbf {A}_1^{rt}+\mathbf {A}_1^{rt}\mathbf {A}_0</math>, where rt denotes the reciprocal transpose.
== References ==
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