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Inner Product: Difference between revisions
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changed a 2 to a 4
DanielAjoy (talk | contribs) m (changed a 2 to a 4) |
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| Line 51: | Line 51: | ||
\begin{align} | \begin{align} | ||
\text{For example, if}\\ | \text{For example, if}\\ | ||
\ | \boldsymbol{A}&=\begin{pmatrix} | ||
1&3&2&0\\ | 1&3&2&0\\ | ||
2&1&0&1\\ | 2&1&0&1\\ | ||
4&0&0&2\\ | |||
\end{pmatrix} | \end{pmatrix} | ||
\qquad\text{and}\qquad | \qquad\text{and}\qquad | ||
\ | \boldsymbol{B}=\begin{pmatrix} | ||
4&1\\ | 4&1\\ | ||
0&3\\ | 0&3\\ | ||
| Line 63: | Line 63: | ||
2&0\\ | 2&0\\ | ||
\end{pmatrix}\\ | \end{pmatrix}\\ | ||
\text{then}\qquad\ | \text{then}\qquad\boldsymbol{A}\;^+_\times\,\boldsymbol{B}&=\begin{pmatrix} | ||
4&14\\ | 4&14\\ | ||
10&5\\ | 10&5\\ | ||
20&4\\ | 20&4\\ | ||
\end{pmatrix}, | \end{pmatrix}, | ||
\quad\ | \quad\boldsymbol{A}\;^\and_=\,\boldsymbol{B}=\begin{pmatrix} | ||
0&1\\ | 0&1\\ | ||
0&0\\ | 0&0\\ | ||
1&0\\ | 1&0\\ | ||
\end{pmatrix}\text{,}\\ | \end{pmatrix}\text{,}\\ | ||
\ | \boldsymbol{A}\;^\or_\neq\;\boldsymbol{B}&=\begin{pmatrix} | ||
1&0\\ | 1&0\\ | ||
1&1\\ | 1&1\\ | ||
0&1\\ | 0&1\\ | ||
\end{pmatrix}, | \end{pmatrix}, | ||
\qquad\text{and}\qquad(\ | \qquad\text{and}\qquad(\boldsymbol{A}\neq0)\;^+_{\,/}\,\boldsymbol{B}=\begin{pmatrix} | ||
4&6\\ | 4&6\\ | ||
6&4\\ | 6&4\\ | ||