diff --git a/HW1.ipynb b/HW1.ipynb
new file mode 100644
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--- /dev/null
+++ b/HW1.ipynb
@@ -0,0 +1,102 @@
+{
+ "cells": [
+  {
+   "cell_type": "markdown",
+   "metadata": {},
+   "source": [
+    "# Homework \\#1 template"
+   ]
+  },
+  {
+   "cell_type": "code",
+   "execution_count": null,
+   "metadata": {},
+   "outputs": [],
+   "source": [
+    "import numpy as np"
+   ]
+  },
+  {
+   "cell_type": "code",
+   "execution_count": null,
+   "metadata": {},
+   "outputs": [],
+   "source": [
+    "# 8x8 Haar matrix\n",
+    "H = np.array([\n",
+    "    [1, -1,  0,  0,  0,  0,  0,  0],\n",
+    "    [0,  0,  1, -1,  0,  0,  0,  0],\n",
+    "    [0,  0,  0,  0,  1, -1,  0,  0],\n",
+    "    [0,  0,  0,  0,  0,  0,  1, -1],\n",
+    "    [1,  1, -1, -1,  0,  0,  0,  0],\n",
+    "    [0,  0,  0,  0,  1,  1, -1, -1],\n",
+    "    [1,  1,  1,  1, -1, -1, -1, -1],\n",
+    "    [1,  1,  1,  1,  1,  1,  1,  1]\n",
+    "])"
+   ]
+  },
+  {
+   "cell_type": "code",
+   "execution_count": null,
+   "metadata": {},
+   "outputs": [],
+   "source": [
+    "# b) show that the rows are linearly independent\n",
+    "# ..."
+   ]
+  },
+  {
+   "cell_type": "code",
+   "execution_count": null,
+   "metadata": {},
+   "outputs": [],
+   "source": [
+    "# c) verify that HH^T is symmetric\n",
+    "# ..."
+   ]
+  },
+  {
+   "cell_type": "code",
+   "execution_count": null,
+   "metadata": {},
+   "outputs": [],
+   "source": [
+    "# d) compute a basis expansion\n",
+    "x = np.ones((8,1)) # note that we specify the shape to obtain a column vector\n",
+    "\n",
+    "# ..."
+   ]
+  },
+  {
+   "cell_type": "code",
+   "execution_count": null,
+   "metadata": {},
+   "outputs": [],
+   "source": [
+    "# e) compute a basis expansion\n",
+    "y = ..."
+   ]
+  }
+ ],
+ "metadata": {
+  "kernelspec": {
+   "display_name": "Python 3",
+   "language": "python",
+   "name": "python3"
+  },
+  "language_info": {
+   "codemirror_mode": {
+    "name": "ipython",
+    "version": 3
+   },
+   "file_extension": ".py",
+   "mimetype": "text/x-python",
+   "name": "python",
+   "nbconvert_exporter": "python",
+   "pygments_lexer": "ipython3",
+   "version": "3.6.10"
+  }
+ },
+ "nbformat": 4,
+ "nbformat_minor": 4
+}