[beginarrayl 2&15&3endarray]

常见问题解答

• 求该行列式的值 \(\left[\begin{array}{l} {2}&{1}\\{5}&{3}\end{array}\right]\)

  

  $$1$$

• 求逆矩阵 \(\left[\begin{array}{l} {2}&{1}\\{5}&{3}\end{array}\right]\)

  

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

• 求矩阵转置 \(\left[\begin{array}{l} {2}&{1}\\{5}&{3}\end{array}\right]\)

  

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

• 求特征值 \(\left[\begin{array}{l} {2}&{1}\\{5}&{3}\end{array}\right]\)

  

  $${\lambda }_1=\frac{5-\sqrt{21}}{2},{\lambda }_2=\frac{5+\sqrt{21}}{2}$$

• 求行梯形形式 \(\left[\begin{array}{l} {2}&{1}\\{5}&{3}\end{array}\right]\)

  

  $$\left[\begin{array}{ll}2& 1\\ 0& \frac{1}{2}\end{array}\right]$$

• 求简化的行梯形形式 \(\left[\begin{array}{l} {2}&{1}\\{5}&{3}\end{array}\right]\)

  

  $$\left[\begin{array}{ll}1& 0\\ 0& 1\end{array}\right]$$