แก้โจทย์ {l}{text{Matriks}A=}{{cc}{-2}&{1}{3}&{-1},B={cc}{5}&{-3}{2}&{4},operatorname{dan}C-{cc}{-4}&{2}{7}&{-6}}{text{Maka}A+B^T*C=m}

$$\left. \begin{array} { l } { \text { Matriks } A = } \\ { \left( \begin{array} { c c } { - 2 } & { 1 } \\ { 3 } & { - 1 } \end{array} \right) , B = \left( \begin{array} { c c } { 5 } & { - 3 } \\ { 2 } & { 4 } \end{array} \right) , \operatorname { dan } C - \left( \begin{array} { c c } { - 4 } & { 2 } \\ { 7 } & { - 6 } \end{array} \right) } \\ { \text { Maka } A + B ^ { T } \cdot C = m } \end{array} \right.$$

หาค่า A, B, T, C, m (complex solution)

$$A=m-CB^{T}$$

$$B\in \mathrm{C}$$

$$T\in \mathrm{C}$$

$$C\in \mathrm{C}$$

$$m\in \mathrm{C}$$

หาค่า A, B, T, C, m

$$\left\{\begin{matrix}\\A=m\text{, }B=0\text{, }T>0\text{, }C\in \mathrm{R}\text{, }m\in \mathrm{R}\text{; }A=m-CB^{T}\text{, }B>0\text{, }T\in \mathrm{R}\text{, }C\in \mathrm{R}\text{, }m\in \mathrm{R}\text{, }&\text{unconditionally}\\A=m-CB^{T}\text{, }B<0\text{, }T\in \mathrm{R}\text{, }C\in \mathrm{R}\text{, }m\in \mathrm{R}\text{, }&Denominator(T)\text{bmod}2=1\end{matrix}\right.$$