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     "text": [
      "Variables: \n",
      " [-4.   2.   7.5]\n",
      "\n",
      "Coefficients matrix: \n",
      " [[ 3 -1  0]\n",
      " [ 1  4 -1]\n",
      " [ 0  1  6]]\n",
      "\n",
      "Constants: \n",
      " [-14.   -3.5  47. ]\n"
     ]
    }
   ],
   "source": [
    "# D. Scott\n",
    "# Linear Algebra: TCI\n",
    "# Code Challenge 10.1\n",
    "# Create all components of system of equations\n",
    "# (variables, coefficients, constants)\n",
    "\n",
    "import numpy as np\n",
    "\n",
    "# create variables vector\n",
    "soln = [-4,2,7.5]\n",
    "soln = np.array(soln,dtype=float)\n",
    "\n",
    "print(\"Variables: \\n\",soln)\n",
    "\n",
    "# create coefficients matrix for system:\n",
    "#    3x - y\n",
    "#     x + 4y - z\n",
    "#          y + 6z\n",
    "A = np.zeros((3,3),dtype=int)\n",
    "A[0][0] = 3\n",
    "A[0][1] = -1\n",
    "A[1][0] = 1\n",
    "A[1][1] = 4\n",
    "A[1][2] = -1\n",
    "A[2][1] = 1\n",
    "A[2][2] = 6\n",
    "\n",
    "print(\"\\nCoefficients matrix: \\n\",A)\n",
    "\n",
    "print(\"\\nConstants: \\n\",A@soln)"
   ]
  }
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