# Consider the following two matrices. Why can't the product of the following two matrices be found? A=begin{bmatrix}-1 & 2&3 4 & 0&5 end{bmatrix} text{ and } B=begin{bmatrix}5 & 2 7 & -8 end{bmatrix}

Consider the following two matrices. Why cant
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Step 1

We explain why matrix product is not possible.
Step 2
If A is a matrix of order $m×n$ and B is a matrix of order $p×q$
The matrix product AB is possible if
n=p
Here A is a matrix of order $2×3\left(m×n\right)$
B is a matrix of order $2×2\left(p×q\right)$
Here m=2,n=3,p=2,q=2
Here $n=3\ne p=2$
Since $n\ne p$ so matrix product not possible

Jeffrey Jordon