which matrix multiplication is possible?\n0 3×1 -4\n3\n-2×-1 0\n0 3\n1 0\n1 1×3 0\n1\n-1×0 4

Explanation:

Step1: Recall matrix - multiplication rule

For matrix $A_{m\times n}$ and matrix $B_{p\times q}$, the multiplication $AB$ is possible if $n = p$.

Step2: Analyze first option

The first matrix is $1\times2$ and the second is $1\times2$. Since $2\neq1$, the multiplication is not possible.

Step3: Analyze second option

The first matrix is $2\times1$ and the second is $2\times2$. Since $1\neq2$, the multiplication is not possible.

Step4: Analyze third option

The first matrix is $2\times2$ and the second is $1\times2$. Since $2\neq1$, the multiplication is not possible.

Step5: Analyze fourth option

The first matrix is $2\times1$ and the second is $1\times2$. Here, the number of columns in the first matrix ($1$) is equal to the number of rows in the second matrix ($1$), so the multiplication is possible.

Answer:

$\begin{bmatrix}1\ - 1\end{bmatrix}\times\begin{bmatrix}0&4\end{bmatrix}$