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...Properties of matrix operations the are as follows addition if a and b matrices same size m n then their sum is multiplication by scalars c scalar ca p product ab vectors vector length can be treated multiplying agree with corresponding transpose its at identity i diagonal elements equal to odiagonal zero we denote all zeroes relevant inverse square not every has an that have inverses called invertible theproperties these assuming r s sizes chosen so each operation well dened ra rb sa rs bc ac ba ai t bt btat aa weseethat in many cases treat numbers however here some dierences between note reverse order only applied know both general even say commute for cannot yields multiply sides equation left get does necessarily yield or example take...