{
 "cells": [
  {
   "cell_type": "code",
   "execution_count": 1,
   "id": "a96a3c9e-9a59-4f87-9be5-a21ec02beec9",
   "metadata": {},
   "outputs": [],
   "source": [
    "using LinearAlgebra"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "id": "7da43c78-28c9-4847-ae3b-1c928f79f5a3",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "4-element Vector{Float64}:\n",
       "  0.18246182305194636\n",
       " -0.3668991739223996\n",
       "  0.20260186844658193\n",
       " -0.9242616501263348"
      ]
     },
     "execution_count": 2,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "A = randn(4, 4)\n",
    "y = randn(4)\n",
    "\n",
    "x = A \\ y"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "id": "ae9b165b-aac9-4b2a-8575-4646e0627098",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "4-element Vector{Float64}:\n",
       "  0.0\n",
       " -1.1102230246251565e-16\n",
       " -1.1102230246251565e-16\n",
       " -8.326672684688674e-17"
      ]
     },
     "execution_count": 3,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "A*x - y"
   ]
  }
 ],
 "metadata": {
  "kernelspec": {
   "display_name": "Julia 1.9.4",
   "language": "julia",
   "name": "julia-1.9"
  },
  "language_info": {
   "file_extension": ".jl",
   "mimetype": "application/julia",
   "name": "julia",
   "version": "1.9.4"
  }
 },
 "nbformat": 4,
 "nbformat_minor": 5
}