Megoldás - Mátrix alapműveletek

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

MatrixCoreOperationsStep2TransitionInvPlan

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

MatrixCoreOperationsStep2TransitionInvCheck

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

R1 <-> R2

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

R1 <- -1/4R1

$$\left[\begin{array}{cccc}1& -1.25& 0& -0.25\\ 2& 3& 1& 0\end{array}\right]$$

R2 <- R2 - 2R1

$$\left[\begin{array}{cccc}1& -1.25& 0& -0.25\\ 0& 5.5& 1& 0.5\end{array}\right]$$

R2 <- 2/11R2

$$\left[\begin{array}{cccc}1& -1.25& 0& -0.25\\ 0& 1& 0.181818& 0.090909\end{array}\right]$$

R1 <- R1 + 5/4R2

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

MatrixCoreOperationsStep2TextUnitInv

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

MatrixCoreOperationsStep3TransitionConclusionInv

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

MatrixCoreOperationsStep3TransitionStudyTipInv

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

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