Question

$$\left[\begin{matrix} 1 & 3 & 5 & 2 \\0 & -1 & 3 & 4 \\2 & 1 & 9 & 6 \\3 & 2 & 4 & 8 \end{matrix}\right]$$

Evaluate

$\left(\begin{matrix}1&3&5&2\\0&-1&3&4\\2&1&9&6\\3&2&4&8\end{matrix}\right)$

Calculate Determinant

$160$

Invert Matrix

$\left(\begin{matrix}-\frac{23}{40}&-\frac{17}{20}&\frac{21}{40}&\frac{7}{40}\\\frac{7}{16}&\frac{1}{8}&-\frac{5}{16}&\frac{1}{16}\\\frac{1}{80}&-\frac{1}{40}&\frac{13}{80}&-\frac{9}{80}\\\frac{1}{10}&\frac{3}{10}&-\frac{1}{5}&\frac{1}{10}\end{matrix}\right)$

Calculate Trace

$17$

Transpose Matrix

$\left(\begin{matrix}1&0&2&3\\3&-1&1&2\\5&3&9&4\\2&4&6&8\end{matrix}\right)$

Matrix Size

$4,4$

Reduce Matrix

$\left(\begin{matrix}1&0&0&0\\0&1&0&0\\0&0&1&0\\0&0&0&1\end{matrix}\right)$