What is the difference between matrix multiplication and the dot product of two matrices? Is there a difference?(adsbygoogle = window.adsbygoogle || []).push({});

If,

[tex]A =

\begin{pmatrix}

a & b \\

c & d

\end{pmatrix}[/tex]

and

[tex]B =

\begin{pmatrix}

e & f \\

g & h

\end{pmatrix}[/tex]

then does

[tex]

{\mathbf{A} \cdot \mathbf{B}} =

\begin{pmatrix}

ae & bf \\

cg & dh

\end{pmatrix}[/tex]

and

[tex]AB =

\begin{pmatrix}

ae + bg & af + bh \\

ce + dg & cf + dh

\end{pmatrix}[/tex]

? Is this correct? Any help would be appreciated.

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# Matrix multiplication vs dot product

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