ZHAWNotes/Notes/Semester 2/LA - Lineare Algebra/Aufgaben.ipynb

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   "cell_type": "markdown",
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   "source": [
    "# Aufgaben\n",
    "Gegeben ist die folgende lineare Abbildung:\n",
    "$$f: \\mathbb{R}^2 \\rightarrow \\mathbb{R}^3:\n",
    "\\begin{pmatrix}\n",
    "x_1 \\\\\n",
    "x_2\n",
    "\\end{pmatrix}\n",
    "\\mapsto\n",
    "\\begin{pmatrix}\n",
    "-x_2 \\\\\n",
    "2x_1 \\\\\n",
    "x_2 - x_1\n",
    "\\end{pmatrix}$$"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "metadata": {},
   "outputs": [],
   "source": [
    "from sympy import init_printing, latex, Symbol, Function, Matrix, Eq, Mul, MatMul\n",
    "init_printing(latex_printer=lambda *args, **kwargs: latex(*args, mul_symbol='dot', **kwargs))"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 6,
   "metadata": {},
   "outputs": [
    {
     "data": {
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      "text/latex": [
       "$\\displaystyle f{\\left(\\vec{e_1} \\right)} = \\left[\\begin{matrix}1\\\\0\\end{matrix}\\right]$"
      ],
      "text/plain": [
       "               ⎡1⎤\n",
       "f(\\vec{e_1}) = ⎢ ⎥\n",
       "               ⎣0⎦"
      ]
     },
     "execution_count": 6,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "f = Function('f')\n",
    "e = Symbol('\\\\vec{e_1}')\n",
    "M = Matrix([1, 0])\n",
    "Eq(f(e), M, evaluate=False)"
   ]
  }
 ],
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