Řešení - Základní operace s maticemi

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

MatrixCoreOperationsStep2TransitionInvPlan

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

MatrixCoreOperationsStep2TransitionInvCheck

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

R1 <-> R2

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

R1 <- 1/5R1

$$\left[\begin{array}{cccc}1& -0.8& 0& 0.2\\ -1& 5& 1& 0\end{array}\right]$$

R2 <- R2 + R1

$$\left[\begin{array}{cccc}1& -0.8& 0& 0.2\\ 0& 4.2& 1& 0.2\end{array}\right]$$

R2 <- 5/21R2

$$\left[\begin{array}{cccc}1& -0.8& 0& 0.2\\ 0& 1& 0.238095& 0.047619\end{array}\right]$$

R1 <- R1 + 4/5R2

$$\left[\begin{array}{cccc}1& 0& 0.190476& 0.238095\\ 0& 1& 0.238095& 0.047619\end{array}\right]$$

MatrixCoreOperationsStep2TextUnitInv

$$\left[\begin{array}{cccc}0& 190476& 0& 238095\\ 0& 238095& 0& 047619\end{array}\right]$$

MatrixCoreOperationsStep3TransitionConclusionInv

$$\left[\begin{array}{cccc}0& 190476& 0& 238095\\ 0& 238095& 0& 047619\end{array}\right]$$

MatrixCoreOperationsStep3TransitionStudyTipInv

$$\left[\begin{array}{cccc}0& 190476& 0& 238095\\ 0& 238095& 0& 047619\end{array}\right]$$

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