{
 "cells": [
  {
   "cell_type": "code",
   "execution_count": 1,
   "id": "57a2b335-a7f3-4ace-a2d8-52219c4febc5",
   "metadata": {},
   "outputs": [],
   "source": [
    "include(\"thinQR.jl\")\n",
    "using .thinQR"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "id": "426735f0-859a-4f7d-83cf-f52f464a2737",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "3-element Vector{Float64}:\n",
       "  2.8498844747360086\n",
       " -2.404529848146403\n",
       " -0.3104749426792832"
      ]
     },
     "execution_count": 2,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "A = [1. 2; 3 4; 5 6]\n",
    "A = qrhous!(A)\n",
    "A * [1., 2, 3]"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "id": "afd34800-7b9a-4006-9849-071fa197d962",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "3-element Vector{Float64}:\n",
       "  2.8498844747360064\n",
       " -2.404529848146404\n",
       " -0.31047494267928366"
      ]
     },
     "execution_count": 3,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "using LinearAlgebra: qr!\n",
    "A = [1. 2.; 3. 4.; 5. 6.]\n",
    "(Q, R) = qr!(A)\n",
    "Q * [1., 2, 3]"
   ]
  }
 ],
 "metadata": {
  "kernelspec": {
   "display_name": "Julia 1.9.3",
   "language": "julia",
   "name": "julia-1.9"
  },
  "language_info": {
   "file_extension": ".jl",
   "mimetype": "application/julia",
   "name": "julia",
   "version": "1.9.3"
  }
 },
 "nbformat": 4,
 "nbformat_minor": 5
}