Megoldás - Mátrix alapműveletek

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

MatrixCoreOperationsStep2TransitionInvPlan

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

MatrixCoreOperationsStep2TransitionInvCheck

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

R1 <-> R2

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

R1 <- 1/5R1

$$\left[\begin{array}{cccc}1& -0.6& 0& 0.2\\ 2& 5& 1& 0\end{array}\right]$$

R2 <- R2 - 2R1

$$\left[\begin{array}{cccc}1& -0.6& 0& 0.2\\ 0& 6.2& 1& -0.4\end{array}\right]$$

R2 <- 5/31R2

$$\left[\begin{array}{cccc}1& -0.6& 0& 0.2\\ 0& 1& 0.16129& -0.064516\end{array}\right]$$

R1 <- R1 + 3/5R2

$$\left[\begin{array}{cccc}1& 0& 0.096774& 0.16129\\ 0& 1& 0.16129& -0.064516\end{array}\right]$$

MatrixCoreOperationsStep2TextUnitInv

$$\left[\begin{array}{cccc}0& 096774& 0& 16129\\ 0& 16129& -0& 064516\end{array}\right]$$

MatrixCoreOperationsStep3TransitionConclusionInv

$$\left[\begin{array}{cccc}0& 096774& 0& 16129\\ 0& 16129& -0& 064516\end{array}\right]$$

MatrixCoreOperationsStep3TransitionStudyTipInv

$$\left[\begin{array}{cccc}0& 096774& 0& 16129\\ 0& 16129& -0& 064516\end{array}\right]$$

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