thumbnail


Properties of matrix multiplication


DOWNLOAD
FREE



thumbnail

Matrix multiplication is not commutative


[Equation goes here - download the original to see it.] To show that [Equation goes here - download the original to see it.] is not generally true, we need a counter example. [Equation goes here - download the original to see it.] [Equation goes here - download the original to see it.] Of course, in some cases AB = BA, but these are exceptions, not the rule. You should be very aware of the failure of commutatively in Matrix multiplication. Multiplication of a matrix on the left is not equivalent to multiplication of a matrix on the right.
Contents of
Properties of matrix multiplication

1 Operations
2 Associativity of matrix multiplication
3 Matrix multiplication is not commutative

Related articles: (1) Matrix algebra, (2) Second order homogeneous, constant-coefficient differential equations