Question

Find each product, if possible.

$\left[\begin{array}{ccc}5& -2& -1\\ 8& 0& 3\end{array}\right]\cdot \left[\begin{array}{cc}-4& 2\\ 1& 0\end{array}\right]$

Short answer

The product for provided matrices is not possible.

Step-by-step solution

Step 1- Determine the dimensions of the provided matrices

The dimensions for first matrix are represented by$2\times 3$ and for second matrix are represented by $2\times 2$.

– Write the inner dimensions 

The inner dimensions for both the provided matrices are represented by the numbers 3 and 2.

Step 3- Make the conclusion

As the inner dimensions of provided matrices are not the same which means that the product for the provided matrices is not defined.