Megoldás - Mátrix alapműveletek

$$\in v\left(\left[\begin{array}{cc}-1& 2\\ -4& -1\end{array}\right]\right)$$

MatrixCoreOperationsStep2TransitionInvPlan

$$\in v\left(\left[\begin{array}{cc}-1& 2\\ -4& -1\end{array}\right]\right)$$

MatrixCoreOperationsStep2TransitionInvCheck

$$\in v\left(\left[\begin{array}{cc}-1& 2\\ -4& -1\end{array}\right]\right)$$

R1 <-> R2

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

R1 <- -1/4R1

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

R2 <- R2 + R1

$$\left[\begin{array}{cccc}1& 0.25& 0& -0.25\\ 0& 2.25& 1& -0.25\end{array}\right]$$

R2 <- 4/9R2

$$\left[\begin{array}{cccc}1& 0.25& 0& -0.25\\ 0& 1& 0.444444& -0.111111\end{array}\right]$$

R1 <- R1 - 1/4R2

$$\left[\begin{array}{cccc}1& 0& -0.111111& -0.222222\\ 0& 1& 0.444444& -0.111111\end{array}\right]$$

MatrixCoreOperationsStep2TextUnitInv

$$\left[\begin{array}{cccc}-0& 111111& -0& 222222\\ 0& 444444& -0& 111111\end{array}\right]$$

MatrixCoreOperationsStep3TransitionConclusionInv

$$\left[\begin{array}{cccc}-0& 111111& -0& 222222\\ 0& 444444& -0& 111111\end{array}\right]$$

MatrixCoreOperationsStep3TransitionStudyTipInv

$$\left[\begin{array}{cccc}-0& 111111& -0& 222222\\ 0& 444444& -0& 111111\end{array}\right]$$

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