Question

What matrix multiplication is possible ?

Answer 1

Firstly, it is important to note that the multiplication of matrices is done in this way:

Columns x Rows or viceversa

Now, two matrices can be multiplied only if their dimensions are compatible, which means that the number of columns in the first matrix must be​​ equal to the number of rows in the second matrix.

In other words:

Two matrices A and B are said to be multiplies if the number of columns in A coincides with the number of rows in B.

In this context, the correct option is:

`\left[\begin{array}{c}1&-1\end{array}\right] \left[\begin{array}{cc}0&4\end{array}\right]`

Where A is:

`\left[\begin{array}{c}1&-1\end{array}\right]`

And B is:

`\left[\begin{array}{cc}0&4\end{array}\right]`

As you can see, the number of columns in A coincides with the number of rows in B