| 11. | The pair of matrices represents a rotation of ! 4.
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| 12. | In practice however, one may encounter non-invertible matrices.
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| 13. | The product of two right stochastic matrices is also right stochastic.
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| 14. | Since there are ! permutations, there are ! permutation matrices.
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| 15. | The superdiagonal blocks are 2 & times; 2 identity matrices.
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| 16. | The special linear group acts on the space of such matrices via
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| 17. | The subscripts can be integers or matrices ( 2d arrays ).
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| 18. | In finite-dimensions, one essentially deals with square matrices.
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| 19. | The rotation matrices have therefore 6 out of 16 independent components.
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| 20. | These matrices all have a determinant whose absolute value is unity.
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