Question

Find each product, if possible.

$\left[\begin{array}{cc}7& 3\\ 0& 2\\ 5& 5\end{array}\right]\cdot \left[\begin{array}{ccc}-2& 1& 4\\ 3& -5& 2\\ 4& 3& 1\end{array}\right]$

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

– Write the inner dimensions 

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

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.