Megoldás - Mátrix alapműveletek

$$\in v\left(\left[\begin{array}{cc}-4& 2\\ 5& 3\end{array}\right]\right)$$

MatrixCoreOperationsStep2TransitionInvPlan

$$\in v\left(\left[\begin{array}{cc}-4& 2\\ 5& 3\end{array}\right]\right)$$

MatrixCoreOperationsStep2TransitionInvCheck

$$\in v\left(\left[\begin{array}{cc}-4& 2\\ 5& 3\end{array}\right]\right)$$

R1 <-> R2

$$\left[\begin{array}{cccc}5& 3& 0& 1\\ -4& 2& 1& 0\end{array}\right]$$

R1 <- 1/5R1

$$\left[\begin{array}{cccc}1& 0.6& 0& 0.2\\ -4& 2& 1& 0\end{array}\right]$$

R2 <- R2 + 4R1

$$\left[\begin{array}{cccc}1& 0.6& 0& 0.2\\ 0& 4.4& 1& 0.8\end{array}\right]$$

R2 <- 5/22R2

$$\left[\begin{array}{cccc}1& 0.6& 0& 0.2\\ 0& 1& 0.227273& 0.181818\end{array}\right]$$

R1 <- R1 - 3/5R2

$$\left[\begin{array}{cccc}1& 0& -0.136364& 0.090909\\ 0& 1& 0.227273& 0.181818\end{array}\right]$$

MatrixCoreOperationsStep2TextUnitInv

$$\left[\begin{array}{cccc}-0& 136364& 0& 090909\\ 0& 227273& 0& 181818\end{array}\right]$$

MatrixCoreOperationsStep3TransitionConclusionInv

$$\left[\begin{array}{cccc}-0& 136364& 0& 090909\\ 0& 227273& 0& 181818\end{array}\right]$$

MatrixCoreOperationsStep3TransitionStudyTipInv

$$\left[\begin{array}{cccc}-0& 136364& 0& 090909\\ 0& 227273& 0& 181818\end{array}\right]$$

Mutasd be a végső mátrix- vagy skaláreredményt kanonikus alakban a stabil útválasztás és ellenőrzés érdekében.