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    "# Homework #3\n",
    "### Assignment\n",
    "1. Define a function <code>euclidean_distance</code> that computes the distance between two 1D vectors of size n according to the formula:\n",
    "\n",
    "$$\n",
    "d(a,b) = \\sqrt{\\sum_{i=1}^n{(a_i - b_i)^2}}\n",
    "$$\n",
    "\n",
    "The function should check that the vector have the same size and implement the simplest iterative version and the two methods proposed within this lecture, selectable by an additional parameter <code>mode</code> of the function.\n",
    "\n",
    "Test the function with pairs of randomly generated vectors of size [5, 10, 20, 50] and measure its performance with the %timeit magic.\n",
    "\n",
    "2. Solve the following linear equations system, in the form $Ax = b$, using numpy functions described in the present lecture:\n",
    "\n",
    "$$\n",
    "4x + 3y + 2z = 25 \\\\\n",
    "-2x + 2y + 3z = -10 \\\\\n",
    "3x -5y + 2z = -4\n",
    "$$\n",
    "\n",
    "### Add below your solution to questions 1 & 2 "
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