[beginarrayll1&23&4endarray]

Frequently Asked Questions

• Evaluate the determinant of $\left[\begin{array}{ll}1& 2\\ 3& 4\end{array}\right]$

  

  $$-2$$

• Find the matrix inverse of $\left[\begin{array}{ll}1& 2\\ 3& 4\end{array}\right]$

  

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

• Find the matrix transpose of $\left[\begin{array}{ll}1& 2\\ 3& 4\end{array}\right]$

  

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

• Find the eigenvalues of $\left[\begin{array}{ll}1& 2\\ 3& 4\end{array}\right]$

  

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

• Find the row echelon form of $\left[\begin{array}{ll}1& 2\\ 3& 4\end{array}\right]$

  

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

• Find the reduced row echelon form of $\left[\begin{array}{ll}1& 2\\ 3& 4\end{array}\right]$

  

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