The correct answer is B
[tex]<b><u>EXPLANATION</u></b>[/tex]
Before we can multiply two matrices, say matrix A by matrix B,we have to check the dimension first.
If the number of columns of the first matrix, A is equal to the number of rows in the second matrix, then, multiplication is possible.
The given matrix has dimension,
[tex]6\times 5[/tex]
This means that, the given matrix has 6 rows and 5 columns.
Hence, the second matrix matrix MUST have 5 rows before multiplication can be POSSIBLE.
In the above options, the only matrix that has 5 rows is the matrix with dimension
[tex]5\times 6[/tex]
In other words, the inner products of the dimensions should be equal.
That is;
[tex](a\times b)(b\times c)[/tex]
is POSSIBLE.
But,
[tex](a\times b)(c\times b)[/tex]
is IMPOSSIBLE.
NB: The dimension of a matrix is given by;
[tex]Row \times Column[/tex]
