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  4. If A B is defined, then B A need not be defined. Now, let A=[6 9 2 3] and B=[2 6 0 7 9 8], then B A is

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Q. If $A B$ is defined, then $B A$ need not be defined. Now, let $A=\begin{bmatrix}6 & 9 \\ 2 & 3\end{bmatrix}$ and $B=\begin{bmatrix}2 & 6 & 0 \\ 7 & 9 & 8\end{bmatrix}$, then $B A$ is

Matrices

Solution:

Here, $A=\begin{bmatrix}6 & 9 \\ 2 & 3\end{bmatrix}$ and $B=\begin{bmatrix}2 & 6 & 0 \\ 7 & 9 & 8\end{bmatrix}$
If $A B$ is defined, then $B A$ need not be defined. In the above example, $A B$ is defined but $B A$ is not defined because $B$ has 3 columns, while $A$ has only 2 (and not 3 ) rows.