Given:
Following Matrices are given.
[tex]A=\begin{bmatrix}{2} & {1} \\ {3} & {4}\end{bmatrix},B=[\text{ }5\text{ 4 \rbrack, C=}\begin{bmatrix}{4} & {1} & {6} \\ {} & {} & {} \\ {5} & {2} & {7}\end{bmatrix}[/tex]Find:
we have to find which Matrix multiplication can be defined.
Explanation:
For Matrix multiplication, the number of columns of first Matrix should be equal to the number of rows of the second Matrix.
Therefore, the following Matrix multiplication can be defined
BC,Because number of columns of B is 2 and number of rows of C is 2.
AC,Because number of columns of A is 2 and number of rows of C is 2.
BA,Because number of columns of B is 2 and number of rows of A is 2.
Therefore, the multiplications BC,AC,BA can be defined.