matrices

When
multiplying matrices (a)(b)x(b)(c) the inner numbers have to from both matrices, and the
resulting matrix will be a(c), the outer numbers left from the matrices.


Example 1:
Find
each matrix product.
[-6 [-1 12 = Not
Defined
0] 0 -4]
2x1 2x2
The inner numbers of both matrices are not the same numbers so there for this matrix cannot be multiplied so it is undefined.

Example 2:

Find each matrix product.
[-2
3 [0 3 = [-18
9
4 2] -6 5] -12 32]
2x2 2x2
-2(0)+3(-6)=-18
-2(3)+3(5)=9
4(0)+2(-6)=-12
4(3)+4(5)=32

Exapmle
3:
Find
each matrix product, if it is defined.
[8 -10 [-2 = Not
Defined
0 3 -9
-6 4] 1]
3x2 3x1
The inner numbers of both matrices are not the same numbers so there for this matrix cannot be multipled so it is undefined.

Hope everyone had a good christmas(: