Megoldás - Mátrix alapműveletek

$$\in v\left(\left[\begin{array}{cc}4& -1\\ 5& 3\end{array}\right]\right)$$

MatrixCoreOperationsStep2TransitionInvPlan

$$\in v\left(\left[\begin{array}{cc}4& -1\\ 5& 3\end{array}\right]\right)$$

MatrixCoreOperationsStep2TransitionInvCheck

$$\in v\left(\left[\begin{array}{cc}4& -1\\ 5& 3\end{array}\right]\right)$$

R1 <-> R2

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

R1 <- 1/5R1

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

R2 <- R2 - 4R1

$$\left[\begin{array}{cccc}1& 0.6& 0& 0.2\\ 0& -3.4& 1& -0.8\end{array}\right]$$

R2 <- -5/17R2

$$\left[\begin{array}{cccc}1& 0.6& 0& 0.2\\ 0& 1& -0.294118& 0.235294\end{array}\right]$$

R1 <- R1 - 3/5R2

$$\left[\begin{array}{cccc}1& 0& 0.176471& 0.058824\\ 0& 1& -0.294118& 0.235294\end{array}\right]$$

MatrixCoreOperationsStep2TextUnitInv

$$\left[\begin{array}{cccc}0& 176471& 0& 058824\\ -0& 294118& 0& 235294\end{array}\right]$$

MatrixCoreOperationsStep3TransitionConclusionInv

$$\left[\begin{array}{cccc}0& 176471& 0& 058824\\ -0& 294118& 0& 235294\end{array}\right]$$

MatrixCoreOperationsStep3TransitionStudyTipInv

$$\left[\begin{array}{cccc}0& 176471& 0& 058824\\ -0& 294118& 0& 235294\end{array}\right]$$

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