Řešení - Základní operace s maticemi

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

MatrixCoreOperationsStep2TransitionInvPlan

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

MatrixCoreOperationsStep2TransitionInvCheck

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

R1 <-> R2

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

R1 <- 1/5R1

$$\left[\begin{array}{cccc}1& 0.4& 0& 0.2\\ 3& 5& 1& 0\end{array}\right]$$

R2 <- R2 - 3R1

$$\left[\begin{array}{cccc}1& 0.4& 0& 0.2\\ 0& 3.8& 1& -0.6\end{array}\right]$$

R2 <- 5/19R2

$$\left[\begin{array}{cccc}1& 0.4& 0& 0.2\\ 0& 1& 0.263158& -0.157895\end{array}\right]$$

R1 <- R1 - 2/5R2

$$\left[\begin{array}{cccc}1& 0& -0.105263& 0.263158\\ 0& 1& 0.263158& -0.157895\end{array}\right]$$

MatrixCoreOperationsStep2TextUnitInv

$$\left[\begin{array}{cccc}-0& 105263& 0& 263158\\ 0& 263158& -0& 157895\end{array}\right]$$

MatrixCoreOperationsStep3TransitionConclusionInv

$$\left[\begin{array}{cccc}-0& 105263& 0& 263158\\ 0& 263158& -0& 157895\end{array}\right]$$

MatrixCoreOperationsStep3TransitionStudyTipInv

$$\left[\begin{array}{cccc}-0& 105263& 0& 263158\\ 0& 263158& -0& 157895\end{array}\right]$$

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