Řešení - Základní operace s maticemi

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

MatrixCoreOperationsStep2TransitionInvPlan

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

MatrixCoreOperationsStep2TransitionInvCheck

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

R1 <-> R2

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

R1 <- 1/5R1

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

R2 <- R2 + 4R1

$$\left[\begin{array}{cccc}1& 0.6& 0& 0.2\\ 0& 6.4& 1& 0.8\end{array}\right]$$

R2 <- 5/32R2

$$\left[\begin{array}{cccc}1& 0.6& 0& 0.2\\ 0& 1& 0.15625& 0.125\end{array}\right]$$

R1 <- R1 - 3/5R2

$$\left[\begin{array}{cccc}1& 0& -0.09375& 0.125\\ 0& 1& 0.15625& 0.125\end{array}\right]$$

MatrixCoreOperationsStep2TextUnitInv

$$\left[\begin{array}{cccc}-0& 09375& 0& 125\\ 0& 15625& 0& 125\end{array}\right]$$

MatrixCoreOperationsStep3TransitionConclusionInv

$$\left[\begin{array}{cccc}-0& 09375& 0& 125\\ 0& 15625& 0& 125\end{array}\right]$$

MatrixCoreOperationsStep3TransitionStudyTipInv

$$\left[\begin{array}{cccc}-0& 09375& 0& 125\\ 0& 15625& 0& 125\end{array}\right]$$

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