diff --git a/CMakeLists.txt b/CMakeLists.txt
index 117c4ff..7e67606 100644
--- a/CMakeLists.txt
+++ b/CMakeLists.txt
@@ -70,6 +70,7 @@ endmacro()
 if(GCTL_FOUND)
     add_example(core array_ex ON OFF OFF OFF)
     add_example(core matrix_ex ON OFF OFF OFF)
+    add_example(core linear_algebra_ex ON OFF OFF OFF)
     add_example(core autodiff_ex ON OFF OFF OFF)
     add_example(core ceemdan_ex ON OFF OFF OFF)
     add_example(core cliplot_ex ON OFF OFF OFF)
diff --git a/src/core/linear_algebra_ex.cpp b/src/core/linear_algebra_ex.cpp
new file mode 100644
index 0000000..977649a
--- /dev/null
+++ b/src/core/linear_algebra_ex.cpp
@@ -0,0 +1,77 @@
+/********************************************************
+ *  ██████╗  ██████╗████████╗██╗
+ * ██╔════╝ ██╔════╝╚══██╔══╝██║
+ * ██║  ███╗██║        ██║   ██║
+ * ██║   ██║██║        ██║   ██║
+ * ╚██████╔╝╚██████╗   ██║   ███████╗
+ *  ╚═════╝  ╚═════╝   ╚═╝   ╚══════╝
+ * Geophysical Computational Tools & Library (GCTL)
+ *
+ * Copyright (c) 2023  Yi Zhang (yizhang-geo@zju.edu.cn)
+ *
+ * GCTL is distributed under a dual licensing scheme. You can redistribute 
+ * it and/or modify it under the terms of the GNU Lesser General Public 
+ * License as published by the Free Software Foundation, either version 2 
+ * of the License, or (at your option) any later version. You should have 
+ * received a copy of the GNU Lesser General Public License along with this 
+ * program. If not, see <http://www.gnu.org/licenses/>.
+ * 
+ * If the terms and conditions of the LGPL v.2. would prevent you from using 
+ * the GCTL, please consider the option to obtain a commercial license for a 
+ * fee. These licenses are offered by the GCTL's original author. As a rule, 
+ * licenses are provided "as-is", unlimited in time for a one time fee. Please 
+ * send corresponding requests to: yizhang-geo@zju.edu.cn. Please do not forget 
+ * to include some description of your company and the realm of its activities. 
+ * Also add information on how to contact you by electronic and paper mail.
+ ******************************************************/
+
+#include "gctl/math/linear_algebra.h"
+
+using namespace gctl;
+
+int main(int argc, char const *argv[])
+{
+    _1d_array a(10, 1.0, 0.1);
+    _1d_array b(10, 1.0);
+
+    _1d_array c(10);
+    veccpy(c, a, 2.0);
+    c.show();
+
+    vecadd(c, a, b, 1.0, 0.5);
+    c.show();
+
+    vecdiff(c, a, b, 1.0, 0.5);
+    c.show();
+
+    vecscale(c, 2.0);
+    c.show();
+
+    vecapp(c, a, 2.0);
+    c.show();
+
+    vecsub(c, a, 2.0);
+    c.show();
+
+    std::cout << vecdot(a, b) << "\n";
+
+    _2d_matrix m(10, 10, 1.0);
+    matvec(c, m, a);
+    c.show();
+
+    /*
+    int rows = 20000;
+    int cols = 20000;
+    _2d_matrix m(rows, cols, 1.0);
+    _1d_array v(cols, 2.0);
+    _1d_array r(rows);
+
+    auto start = std::chrono::high_resolution_clock::now();
+    matvec(r, m, v);
+    auto end = std::chrono::high_resolution_clock::now();
+
+    std::chrono::duration<double> duration = end - start;
+    std::cout << "matvec execution time: " << duration.count() << " seconds" << std::endl;
+    */
+    return 0;
+}