Question

$$\left[\begin{matrix} 2 & 1 & -1 & 5 & 7 \\3 & 2 & 3 & 2 & 1 \\-1 & 4 & 3 & 1 & 1 \\1 & -2 & 1 & 3 & 2 \\2 & 4 & 3 & 2 & 2 \end{matrix}\right]$$

Evaluate

$\left(\begin{matrix}2&1&-1&5&7\\3&2&3&2&1\\-1&4&3&1&1\\1&-2&1&3&2\\2&4&3&2&2\end{matrix}\right)$

Calculate Determinant

$-11$

Invert Matrix

$\left(\begin{matrix}-\frac{4}{11}&-\frac{13}{11}&-1&\frac{5}{11}&\frac{21}{11}\\\frac{23}{11}&\frac{83}{11}&4&-\frac{37}{11}&-\frac{107}{11}\\-\frac{36}{11}&-\frac{128}{11}&-6&\frac{56}{11}&\frac{167}{11}\\\frac{62}{11}&\frac{229}{11}&11&-\frac{94}{11}&-\frac{298}{11}\\-\frac{50}{11}&-\frac{190}{11}&-9&\frac{79}{11}&\frac{246}{11}\end{matrix}\right)$

Calculate Trace

$12$

Transpose Matrix

$\left(\begin{matrix}2&3&-1&1&2\\1&2&4&-2&4\\-1&3&3&1&3\\5&2&1&3&2\\7&1&1&2&2\end{matrix}\right)$

Matrix Size

$5,5$

Reduce Matrix

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