diff --git a/.idea/vcs.xml b/.idea/vcs.xml
index 0a294a1..bf8431e 100644
--- a/.idea/vcs.xml
+++ b/.idea/vcs.xml
@@ -3,6 +3,5 @@
   <component name="VcsDirectoryMappings">
     <mapping directory="" vcs="Git" />
     <mapping directory="$PROJECT_DIR$/lib/blt" vcs="Git" />
-    <mapping directory="$PROJECT_DIR$/lib/blt/libraries/parallel-hashmap" vcs="Git" />
   </component>
 </project>
\ No newline at end of file
diff --git a/CMakeLists.txt b/CMakeLists.txt
index f9d83f1..5fb0f52 100644
--- a/CMakeLists.txt
+++ b/CMakeLists.txt
@@ -1,5 +1,5 @@
 cmake_minimum_required(VERSION 3.25)
-project(COSC-4P80-Assignment-1 VERSION 0.0.2)
+project(COSC-4P80-Assignment-1 VERSION 0.0.3)
 
 option(ENABLE_ADDRSAN "Enable the address sanitizer" OFF)
 option(ENABLE_UBSAN "Enable the ub sanitizer" OFF)
diff --git a/lib/blt b/lib/blt
index d1aaf4d..e19a88c 160000
--- a/lib/blt
+++ b/lib/blt
@@ -1 +1 @@
-Subproject commit d1aaf4db9468cfafe10cffcaea48ee2908f6b05f
+Subproject commit e19a88c45477c4529adb8cabebf3091380d9c756
diff --git a/src/main.cpp b/src/main.cpp
index 6f2b004..7fc23d5 100644
--- a/src/main.cpp
+++ b/src/main.cpp
@@ -1,6 +1,40 @@
 #include <iostream>
+#include <blt/math/matrix.h>
+#include <blt/math/log_util.h>
+#include <valarray>
+#include "blt/std/assert.h"
+
+void test_math()
+{
+    blt::generalized_matrix<float, 1, 4> input{1, -1, -1, 1};
+    blt::generalized_matrix<float, 1, 3> output{1, 1, 1};
+    blt::generalized_matrix<float, 4, 3> expected{
+            blt::vec4{1, -1, -1, 1},
+            blt::vec4{1, -1, -1, 1},
+            blt::vec4{1, -1, -1, 1}
+    };
+    
+    auto w_matrix = input.transpose() * output;
+    BLT_ASSERT(w_matrix == expected && "MATH FAILURE");
+}
+
+constexpr blt::u32 input_count = 5;
+constexpr blt::u32 output_count = 4;
+
+using input_t = blt::generalized_matrix<float, 1, input_count>;
+using output_t = blt::generalized_matrix<float, 1, output_count>;
+
+input_t input_1{-1, 1, 1, 1, -1};
+output_t output_1{1, 1, -1, 1};
 
 int main()
 {
-    std::cout << "Hello World!" << std::endl;    
+    test_math();
+    
+    
+    
+    std::cout << output_1 << std::endl;
+    std::cout << input_1.transpose() << std::endl;
+    std::cout << input_1.transpose() * output_1 << std::endl;
+    std::cout << "Hello World!" << std::endl;
 }