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Pertanyaan
Jika p matriks berordo 2x2, tentukan p yang memenuhi ...help me guys
Jawaban #1 untuk Pertanyaan: Jika p matriks berordo 2x2, tentukan p yang memenuhi ...
help me guys
[tex]\green{\huge{a.}}[/tex]
[tex]\sf \left[\begin{array}{ccc}2&1\\-3&4\end{array}\right].P=\left[\begin{array}{ccc}4&-1\\5&-4\end{array}\right][/tex]
[tex]\sf P=\left[\begin{array}{ccc}2&1\\-3&4\end{array}\right]^{-1}\left[\begin{array}{ccc}4&-1\\5&-4\end{array}\right][/tex]
[tex]\sf P=\frac{1}{(2\times 4)-(1\times -3)}.\left[\begin{array}{ccc}4&-1\\3&2\end{array}\right]\left[\begin{array}{ccc}4&-1\\5&-4\end{array}\right][/tex]
[tex]\sf P=\frac{1}{11}.\left[\begin{array}{ccc}(4\times 4)+(-1\times 5)&(4\times -1)+(-1\times -4)\\(3\times 4)+(2\times 5)&(3\times -1)+(2\times -4)\end{array}\right][/tex]
[tex]\sf P=\frac{1}{11}.\left[\begin{array}{ccc}11&0\\22&-11\end{array}\right][/tex]
[tex]\red{\huge{\sf P=\left[\begin{array}{ccc}1&0\\2&-1\end{array}\right]}}[/tex]
[tex]\green{\huge{b.}}[/tex]
[tex]\sf P.\left[\begin{array}{ccc}-5&3\\6&-7\end{array}\right]=\left[\begin{array}{ccc}-8&-2\\15&-26\end{array}\right][/tex]
[tex]\sf P=\left[\begin{array}{ccc}-8&-2\\15&-26\end{array}\right]\left[\begin{array}{ccc}-5&3\\6&-7\end{array}\right]^{-1}[/tex]
[tex]\sf P=\left[\begin{array}{ccc}-8&-2\\15&-26\end{array}\right].\frac{1}{(-5\times -7)-(3\times 6)}.\left[\begin{array}{ccc}-7&-3\\-6&-5\end{array}\right][/tex]
[tex]\sf P=\frac{1}{17}.\left[\begin{array}{ccc}(-8\times -7)+(-2\times -6)&(-8\times -3)+(-2\times -5)\\(15\times -7)+(-26\times -6)&(15\times -3)+(-26\times -5)\end{array}\right][/tex]
[tex]\sf P=\frac{1}{17}.\left[\begin{array}{ccc}68&34\\51&85\end{array}\right][/tex]
[tex]\red{\huge{\sf P=\left[\begin{array}{ccc}4&2\\3&5\end{array}\right]}}[/tex]
Sekian tanya-jawab mengenai Jika p matriks berordo 2x2, tentukan p yang memenuhi ... help me guys, semoga dengan ini bisa membantu menyelesaikan masalah kamu.