Where possible, find the product: begin{bmatrix}2 & 3 &-1&6 0 & 5 &4&1 end{bmatrix} begin{bmatrix}1 & 3 0 & 2 end{bmatrix}

Where possible, find the product:
$\left[\begin{array}{cccc}2& 3& -1& 6\\ 0& 5& 4& 1\end{array}\right]\left[\begin{array}{cc}1& 3\\ 0& 2\end{array}\right]$
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Step 1
Known facts:
Let A be $m×n$ matrix and B be $p×q$ matrix then the product of these two matrices are defined only when n=p.
That is, Product of two matrices A and B is defined only when number of columns of A is equal to number of rows of B.
Step 2
Note that given matrices order are $2×4$ and $2×2$. Clearly, $4\ne 2$.
By the above known fact, the product $\left[\begin{array}{cccc}2& 3& -1& 6\\ 0& 5& 4& 1\end{array}\right]\left[\begin{array}{cc}1& 3\\ 0& 2\end{array}\right]$ is not possible

Jeffrey Jordon

Answer is given below (on video)

Jeffrey Jordon

Answer is given below (on video)

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