From e2a9a9425cc3463414e163b90773aa23ee751af3 Mon Sep 17 00:00:00 2001
From: EdwardEisenhauer <sergiusz.warga@pwr.edu.pl>
Date: Sat, 6 Mar 2021 13:11:29 +0100
Subject: [PATCH] First Commit

---
 .../outer_product_gaussian_elimination.m      | 20 +++++++++++++++++++
 README.md                                     |  0
 2 files changed, 20 insertions(+)
 create mode 100644 Direct Methods for Solving Linear Systems/outer_product_gaussian_elimination.m
 create mode 100644 README.md

diff --git a/Direct Methods for Solving Linear Systems/outer_product_gaussian_elimination.m b/Direct Methods for Solving Linear Systems/outer_product_gaussian_elimination.m
new file mode 100644
index 0000000..012c1de
--- /dev/null
+++ b/Direct Methods for Solving Linear Systems/outer_product_gaussian_elimination.m	
@@ -0,0 +1,20 @@
+% Outer Product Gaussian Elimination (Alg. 3.2.1)
+function outer_product_gaussian_elimination(A)
+
+[n, m] = size(A);
+if n ~= m
+    error('Matrix is not squared!')
+end
+    
+ if det(A) == 0
+    error('Matrix is not nonsingular!') 
+ end
+ 
+ A
+ 
+ for k = 1 : n-1
+     k
+     rows = k + 1 : n
+     A(rows, k) = A(rows, k)/A(k, k)
+     A(rows, rows) = A(rows, rows) - A(rows, k) * A(k, rows)
+ end
\ No newline at end of file
diff --git a/README.md b/README.md
new file mode 100644
index 0000000..e69de29