Řešení - Základní operace s maticemi

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

MatrixCoreOperationsStep2TransitionInvPlan

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

MatrixCoreOperationsStep2TransitionInvCheck

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

R1 <- 1/4R1

$$\left[\begin{array}{cccc}1& -0.25& 0.25& 0\\ -3& 5& 0& 1\end{array}\right]$$

R2 <- R2 + 3R1

$$\left[\begin{array}{cccccc}1& -0& 25& 0& 25& 0\\ 0& 4& 25& 0& 75& 1\end{array}\right]$$

R2 <- 4/17R2

$$\left[\begin{array}{cccc}1& -0.25& 0.25& 0\\ 0& 1& 0.176471& 0.235294\end{array}\right]$$

R1 <- R1 + 1/4R2

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

MatrixCoreOperationsStep2TextUnitInv

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

MatrixCoreOperationsStep3TransitionConclusionInv

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

MatrixCoreOperationsStep3TransitionStudyTipInv

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

Zobrazte konečný maticový nebo skalární výsledek v kanonickém tvaru pro stabilní směrování a kontrolu.