Równanie macierzowe
Równanie macierzowe
\(\displaystyle{ 2Y ft[\begin{array}{ccc}3&0&1\\0&4&0\\1&0&2\end{array}\right] = ft[\begin{array}{ccc}1&0&1\\0&1&0\\1&0&1\end{array}\right] + Y ft[\begin{array}{ccc}2&0&2\\0&4&0\\2&0&0\end{array}\right]}\)
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Równanie macierzowe
\(\displaystyle{ 2Y ft[\begin{array}{ccc}3&0&1\\0&4&0\\1&0&2\end{array}\right] = ft[\begin{array}{ccc}1&0&1\\0&1&0\\1&0&1\end{array}\right] + Y ft[\begin{array}{ccc}2&0&2\\0&4&0\\2&0&0\end{array}\right]}\)
\(\displaystyle{ Y ft[\begin{array}{ccc}6&0&2\\0&8&0\\2&0&4\end{array}\right] - Y ft[\begin{array}{ccc}2&0&2\\0&4&0\\2&0&0\end{array}\right]= ft[\begin{array}{ccc}1&0&1\\0&1&0\\1&0&1\end{array}\right]}\)
\(\displaystyle{ Y( ft[\begin{array}{ccc}6&0&2\\0&8&0\\2&0&4\end{array}\right] - ft[\begin{array}{ccc}2&0&2\\0&4&0\\2&0&0\end{array}\right])= ft[\begin{array}{ccc}1&0&1\\0&1&0\\1&0&1\end{array}\right]}\)
\(\displaystyle{ Y\left[\begin{array}{ccc}4&0&0\\0&4&0\\0&0&4\end{array}\right]= ft[\begin{array}{ccc}1&0&1\\0&1&0\\1&0&1\end{array}\right]/\cdot\left[\begin{array}{ccc}4&0&0\\0&4&0\\0&0&4\end{array}\right]^{-1}}\)
\(\displaystyle{ Y=\left[\begin{array}{ccc}1&0&1\\0&1&0\\1&0&1\end{array}\right]\cdot ft[\begin{array}{ccc}\frac{1}{4}&0&0\\0&\frac{1}{4}&0\\0&0&\frac{1}{4}\end{array}\right]}\)
\(\displaystyle{ Y=\left[\begin{array}{ccc}1&0&1\\0&1&0\\1&0&1\end{array}\right]\cdot \frac{1}{4}\cdot\left[\begin{array}{ccc}1&0&0\\0&1&0\\0&0&1\end{array}\right]}\)
\(\displaystyle{ Y=\left[\begin{array}{ccc}1&0&1\\0&1&0\\1&0&1\end{array}\right]\cdot \frac{1}{4}}\)
\(\displaystyle{ Y=\left[\begin{array}{ccc}\frac{1}{4}&0&\frac{1}{4}\\0&\frac{1}{4}&0\\\frac{1}{4}&0&\frac{1}{4}\end{array}\right]}\)
\(\displaystyle{ Y ft[\begin{array}{ccc}6&0&2\\0&8&0\\2&0&4\end{array}\right] - Y ft[\begin{array}{ccc}2&0&2\\0&4&0\\2&0&0\end{array}\right]= ft[\begin{array}{ccc}1&0&1\\0&1&0\\1&0&1\end{array}\right]}\)
\(\displaystyle{ Y( ft[\begin{array}{ccc}6&0&2\\0&8&0\\2&0&4\end{array}\right] - ft[\begin{array}{ccc}2&0&2\\0&4&0\\2&0&0\end{array}\right])= ft[\begin{array}{ccc}1&0&1\\0&1&0\\1&0&1\end{array}\right]}\)
\(\displaystyle{ Y\left[\begin{array}{ccc}4&0&0\\0&4&0\\0&0&4\end{array}\right]= ft[\begin{array}{ccc}1&0&1\\0&1&0\\1&0&1\end{array}\right]/\cdot\left[\begin{array}{ccc}4&0&0\\0&4&0\\0&0&4\end{array}\right]^{-1}}\)
\(\displaystyle{ Y=\left[\begin{array}{ccc}1&0&1\\0&1&0\\1&0&1\end{array}\right]\cdot ft[\begin{array}{ccc}\frac{1}{4}&0&0\\0&\frac{1}{4}&0\\0&0&\frac{1}{4}\end{array}\right]}\)
\(\displaystyle{ Y=\left[\begin{array}{ccc}1&0&1\\0&1&0\\1&0&1\end{array}\right]\cdot \frac{1}{4}\cdot\left[\begin{array}{ccc}1&0&0\\0&1&0\\0&0&1\end{array}\right]}\)
\(\displaystyle{ Y=\left[\begin{array}{ccc}1&0&1\\0&1&0\\1&0&1\end{array}\right]\cdot \frac{1}{4}}\)
\(\displaystyle{ Y=\left[\begin{array}{ccc}\frac{1}{4}&0&\frac{1}{4}\\0&\frac{1}{4}&0\\\frac{1}{4}&0&\frac{1}{4}\end{array}\right]}\)