Megoldás - Mátrix alapműveletek

$$\in v\left(\left[\begin{array}{cc}-1& 4\\ 4& 5\end{array}\right]\right)$$

MatrixCoreOperationsStep2TransitionInvPlan

$$\in v\left(\left[\begin{array}{cc}-1& 4\\ 4& 5\end{array}\right]\right)$$

MatrixCoreOperationsStep2TransitionInvCheck

$$\in v\left(\left[\begin{array}{cc}-1& 4\\ 4& 5\end{array}\right]\right)$$

R1 <-> R2

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

R1 <- 1/4R1

$$\left[\begin{array}{cccc}1& 1.25& 0& 0.25\\ -1& 4& 1& 0\end{array}\right]$$

R2 <- R2 + R1

$$\left[\begin{array}{cccc}1& 1.25& 0& 0.25\\ 0& 5.25& 1& 0.25\end{array}\right]$$

R2 <- 4/21R2

$$\left[\begin{array}{cccc}1& 1.25& 0& 0.25\\ 0& 1& 0.190476& 0.047619\end{array}\right]$$

R1 <- R1 - 5/4R2

$$\left[\begin{array}{cccc}1& 0& -0.238095& 0.190476\\ 0& 1& 0.190476& 0.047619\end{array}\right]$$

MatrixCoreOperationsStep2TextUnitInv

$$\left[\begin{array}{cccc}-0& 238095& 0& 190476\\ 0& 190476& 0& 047619\end{array}\right]$$

MatrixCoreOperationsStep3TransitionConclusionInv

$$\left[\begin{array}{cccc}-0& 238095& 0& 190476\\ 0& 190476& 0& 047619\end{array}\right]$$

MatrixCoreOperationsStep3TransitionStudyTipInv

$$\left[\begin{array}{cccc}-0& 238095& 0& 190476\\ 0& 190476& 0& 047619\end{array}\right]$$

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