Let $A=\begin{pmatrix}1&2&3\ 4&5&6\end{pmatrix}$ and \(B=\begin{pmatrix}1&2\ 3&4\ 5&6\end{

Question

Let $A=\begin{pmatrix}1&2&3\ 4&5&6\end{pmatrix}$ and $B=\begin{pmatrix}1&2\ 3&4\ 5&6\end{pmatrix}$. Sam says, “Both matrices contain six entries, so I can add them.” Explain why Sam is wrong.[2]

Accepted Answer

The orders $2\times3$ and $3\times2$ differ, so $A+B$ is undefined.

When a matrix sum is undefined

When a matrix sum is undefined

Solution:

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