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idiosyncrasies of matrix are the differences between matrix algebra and scalar one. i'll give a few examples.
1- in algebra AB=BA which sometimes doesn't hold in calculation of matrix.
2- if AB=0, scalar algebra says, either A, B or both A and B are equal to zero. this also doesn't hold in matrix algebra sometimes.
3- CD=CE taking that c isn't equal to 0, then D and # must be equal in scalar algebra. Matrix again tend to deviate from this identity.
its to be noted that these deviations from scalar algebra arise due to calculations involving singular matrices.
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