- #1
jabers
- 15
- 0
What is the difference between matrix multiplication and the dot product of two matrices? Is there a difference?
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.
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.