Properties of matrix multiplication

Properties of matrix multiplication

In this table, AAA, BBB, and CCC are n imes nn×nn, times, n matrices, III is the n imes nn×nn, times, n identity matrix, and OOO is the n imes nn×nn, times, n zero matrix

PropertyExample

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_________ __________ ________ ____ ________.
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____ __________ ______ _____ ______ _____ _____ ________ __________ _______ ______.
________ ______ _____ __________ _________ _______ _______ _________ ____.
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____ _________ ________ ________ _________ _______ ____ ________ _______ _____ ___.
______ ____ ____ __________ __________ __________ ________ __________ _____ _________ ____.
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___ ________ _______ ___ ____ _________.
_________ _____ __________ _____ ____ ___ _________ _______ ____.
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