Complete LU documentation
diff --git a/doc/snippets/LU_solve.cpp b/doc/snippets/LU_solve.cpp
new file mode 100644
index 0000000..7323338
--- /dev/null
+++ b/doc/snippets/LU_solve.cpp
@@ -0,0 +1,15 @@
+typedef Matrix<float,2,3> Matrix2x3;
+typedef Matrix<float,3,2> Matrix3x2;
+Matrix2x3 m = Matrix2x3::Random();
+Matrix2f y = Matrix2f::Random();
+cout << "Here is the matrix m:" << endl << m << endl;
+cout << "Here is the matrix y:" << endl << y << endl;
+Matrix3x2 x;
+if(m.lu().solve(y, &x))
+{
+ assert(y.isApprox(m*x));
+ cout << "Here is a solution x to the equation mx=y:" << endl << x << endl;
+}
+else
+ cout << "The equation mx=y does not have any solution." << endl;
+