played iwht matrix

src/main.rs

@@ -1,6 +1,7 @@
 use canvas::Canvas;
 use color::Color;
 use structs::Tuple;
+use matrix::Matrix;
 
 use std::fmt;
 use std::fs::File;
@@ -106,4 +107,35 @@ fn main() {
         Err(e) => panic!("did not write. {}", e),
     };
 
+
+    let i = Matrix::identity(4);
+    println!("{:#?}", i);
+    let inverse_i = i.inverse();
+    println!("{:#?}", inverse_i);
+
+
+    let mut a = Matrix::from_array([
+        [1.0, 2.0, 3.0],
+        [4.0, 5.0, 6.0],
+        [7.0, 8.0, 1.0]
+    ]);
+
+    let mut b = a.inverse();
+    println!("{:?}", b);
+    let c = &a * &b;
+    println!("{:?}", c);
+
+    b.transpose();
+    a.transpose();
+    let at = a.inverse();
+    println!("{:?}", b);
+    println!("{:?}", at);
+
+
+    let t = Tuple::point(1.0, 2.0, 3.0);
+    let mut id = Matrix::identity(4);
+    id[1][3] = -3.0;
+    let q = &id * &t;
+    println!("{:?}", id);
+    println!("{:?}", q);
 }