Summer 2011. * Note – when I teach this to my students, we use post its to cover the row/column we aren’t using!

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Presentation transcript:

Summer 2011

* Note – when I teach this to my students, we use post its to cover the row/column we aren’t using!

Used to solve systems of equations!!

Selected Matrix Rules: A + B = B + ACommutative law of addition (A+B)+C = A+(B+C)Associative law of addition (AB)C = A(BC)Associative law of multiplication A(B+C) = AB+ACLeft distributive law (A+B)C = AC + BCRight distributive law (A T ) T = ADouble transpose rule (AB) T = B T A T Reverse product transpose rule k(AB) = (kA)B = A(kB)A mixed scalar and matrix multiplication rule