Distributive Property of Matrices
Let
be an
matrix
. Let
and
be
matrices.
The
Distributive Property of Matrices
states:
Also, if
be an
matrix and
and
be
matrices, then
Example:
.
Find
and
.
Then, find
and
Find
: Find
:
Find
: Find
:
Therefore,
and
Important
:
Notice that
and
.
This is because
multiplication of matrices is not commutative.
The order in which you multiply is important.