Question

Find each product, if possible.

$\left[\begin{array}{ccc}4& -1& 6\\ 1& 5& -8\end{array}\right]\cdot \left[\begin{array}{cc}1& 3\\ 9& -6\end{array}\right]$

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.