Compute the indicated product [ l 1 2 3 ] [ lll 2 & 3 & 4 ] - Vidyadip

Question

Compute the indicated product $\left[\begin{array}{l} {1} \\ {2} \\ {3} \end{array}\right]\left[\begin{array}{lll} {2} & {3} & {4} \end{array}\right]$

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Answer

$\left[\begin{array}{l} {1} \\ {2} \\ {3} \end{array}\right]\left[\begin{array}{lll} {2} & {3} & {4} \end{array}\right]$
$= \left[\begin{array}{ccc} {1(2)} & {1(3)} & {1(4)} \\ {2(2)} & {2(3)} & {2(4)} \\ {3(2)} & {3(3)} & {3(4)} \end{array}\right]$
$= \left[\begin{array}{ccc} {2} & {3} & {4} \\ {4} & {6} & {8} \\ {6} & {9} & {12} \end{array}\right]$

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