C Help with Hw?

[HW] matrix multiplication: In this problem, the multiplication of two matrices


is introduced. Only the case of square matrices of equal dimensions is discussed.


A matrix is two dimensional array of numbers. Consider matrix A


A=[a11 a12 a13


a21 a22 a23


a31 a32 a33]


and matrix B


B=[b11 b12 b13


b21 b22 b23


b31 b32 b33]


Matrix C is obtained by matrix multiplication of matrix A and matrix B


C=AB=[c11 c12 c13


c21 c22 c23


c31 c32 c33]


where entry cij of matrix C is obtained with


cij=Σ


k=1


n


aik bkj=ai1b1jai2b2jai3b3j and n = 3


cij is the known as the dotproduct


of row i of matrix A and column j of matrix B.


The entries cij of matrix C are obtained for all possible rows i of matrix A and


columns j of matrix B.


Note that matrix multiplication is anticommutative.


This means that the order of


matrices in matrix multiplication does matter. In general


AB≠B A


02/18/08


Example:


A=[1 −5 6


3 5 −7


9 8 4 ] B=[ 2 −3 4


−8 7 5


6 1 9]


C=AB=[78 −32 33


−76 19 −26


−22 33 1

C Help with Hw?
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