diff --git a/src/lib.rs b/src/lib.rs
index 76b5b7a..751118d 100644
--- a/src/lib.rs
+++ b/src/lib.rs
@@ -148,11 +148,7 @@ impl Matrix {
         None
     }
 
-    pub fn get_determinant(&self) -> Result<Fraction, MatrixError> {
-        if self.rows != self.columns {
-            return Err(MatrixError::NotSquared);
-        }
-
+    pub fn gaussian_elimination(&self) -> Result<(Matrix, Fraction), MatrixError> {
         let mut trig_matrix = Matrix {
             columns: self.columns,
             rows: self.rows,
@@ -177,7 +173,7 @@ impl Matrix {
             // If there ain't no other thing but 0 then we're
             // fucked, determinant is zero
             if max_value.is_zero() {
-                return Ok(Fraction::new(0, 1).unwrap());
+                return Ok((trig_matrix, Fraction::new(0, 1).unwrap()));
             }
 
             if max_row != i {
@@ -204,6 +200,16 @@ impl Matrix {
             }
         }
 
+        Ok((trig_matrix, sign))
+    }
+
+    pub fn get_determinant(&self) -> Result<Fraction, MatrixError> {
+        if self.rows != self.columns {
+            return Err(MatrixError::NotSquared);
+        }
+
+        let (trig_matrix, sign) = self.gaussian_elimination()?;
+
         // YES, now we got ourselves a triangular matrix, now we just
         // take the product of the diagonal and multiply by sign, that's
         // the determinant :)