nThe multiplication of a matrix into another matrix not
possible for all matrices, and the operation is not
commutative:
AB ≠ BA in general
nIn order to multiply two matrices, the first matrix
must have the same number of columns as the second matrix has rows.
nSo, if one wants to solve for C=AB, then the matrix A
must have as many columns as the matrix B has rows.
nThe resulting matrix C will have the same number of
rows as did A and the same number of columns as did B.
nThe operation is done as follows:
using
index notation:
For Example:
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