[beginarrayl 1&23&4endarray]

常见问题解答

• 求该行列式的值 \(\left[\begin{array}{l} {1}&{2}\\{3}&{4}\end{array}\right]\)

  

  $$-2$$

• 求逆矩阵 \(\left[\begin{array}{l} {1}&{2}\\{3}&{4}\end{array}\right]\)

  

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

• 求矩阵转置 \(\left[\begin{array}{l} {1}&{2}\\{3}&{4}\end{array}\right]\)

  

  $$\left[\begin{array}{ll}1& 3\\ 2& 4\end{array}\right]$$

• 求特征值 \(\left[\begin{array}{l} {1}&{2}\\{3}&{4}\end{array}\right]\)

  

  $${\lambda }_1=\frac{5-\sqrt{33}}{2},{\lambda }_2=\frac{5+\sqrt{33}}{2}$$

• 求行梯形形式 \(\left[\begin{array}{l} {1}&{2}\\{3}&{4}\end{array}\right]\)

  

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

• 求简化的行梯形形式 \(\left[\begin{array}{l} {1}&{2}\\{3}&{4}\end{array}\right]\)

  

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