Compute the products \( A B \) and \( B A \) whichever exists in ea...

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Compute the products \( A B \) and \( B A \) whichever exists in each of the following cases:
\[
\left[\begin{array}{ll}
a & b
\end{array}\right]\left[\begin{array}{l}
c \\
d
\end{array}\right]+\left[\begin{array}{llll}
a & b & c & d
\end{array}\right]\left[\begin{array}{l}
a \\
b \\
c \\
d
\end{array}\right]_{1}
\]
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