hw_math.ipynb

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    "### Applied Seismology, GEOS 626/426, University of Alaska Fairbanks\n",
    "### Inverse Problems and Parameter Estimation, GEOS 627/427, University of Alaska Fairbanks\n",
    "\n",
    "- script hwsol_math.ipynb\n",
    "- see also notes_math.ipynb"
   ]
  },
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   "source": [
    "%matplotlib inline"
   ]
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   "source": [
    "%run lib_header.py"
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   "source": [
    "import math\n",
    "from scipy.linalg import null_space\n",
    "import numpy.linalg as la"
   ]
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   "cell_type": "code",
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   "source": [
    "# displaying matrices\n",
    "A = 5*(np.random.rand(3,3) - 0.5)\n",
    "showmat(A)\n",
    "showmat(A,2)"
   ]
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   "cell_type": "code",
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   "source": [
    "# building a matrix from a set of column vectors\n",
    "v0 = np.array([[1, 0, 1, 0]]).T\n",
    "v1 = np.array([[2, 1, 0, 0]]).T\n",
    "v2 = np.array([[3, 0, 4, 1]]).T\n",
    "A = np.hstack((v0,v1,v2))\n",
    "showmat(A)"
   ]
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