{
 "cells": [
  {
   "cell_type": "markdown",
   "id": "mx-0",
   "metadata": {},
   "source": "# Matrices and indexing\n\nMatrices are the core numbl data type. This notebook covers construction,\nreshaping, and MATLAB-style indexing."
  },
  {
   "cell_type": "markdown",
   "id": "mx-1",
   "metadata": {},
   "source": "## Constructing matrices"
  },
  {
   "cell_type": "code",
   "id": "mx-2",
   "metadata": {},
   "execution_count": null,
   "outputs": [],
   "source": "Z = zeros(2, 3)\nO = ones(2)\nI = eye(3)\nM = magic(4)"
  },
  {
   "cell_type": "markdown",
   "id": "mx-3",
   "metadata": {},
   "source": "## Ranges with the colon operator"
  },
  {
   "cell_type": "code",
   "id": "mx-4",
   "metadata": {},
   "execution_count": null,
   "outputs": [],
   "source": "1:5\n0:0.25:1\n10:-2:0"
  },
  {
   "cell_type": "markdown",
   "id": "mx-5",
   "metadata": {},
   "source": "## Size and reshaping"
  },
  {
   "cell_type": "code",
   "id": "mx-6",
   "metadata": {},
   "execution_count": null,
   "outputs": [],
   "source": "A = reshape(1:12, 3, 4)\nsize(A)\nnumel(A)\nA'"
  },
  {
   "cell_type": "markdown",
   "id": "mx-7",
   "metadata": {},
   "source": "## Concatenation"
  },
  {
   "cell_type": "code",
   "id": "mx-8",
   "metadata": {},
   "execution_count": null,
   "outputs": [],
   "source": "[1 2; 3 4]\n[ones(2, 2), zeros(2, 2)]"
  },
  {
   "cell_type": "markdown",
   "id": "mx-9",
   "metadata": {},
   "source": "## Indexing: subscripts, ranges, and `end`"
  },
  {
   "cell_type": "code",
   "id": "mx-10",
   "metadata": {},
   "execution_count": null,
   "outputs": [],
   "source": "M = magic(4);\nM(2, 3)\nM(:, 1)'\nM(end, :)\nM(1:2, 3:4)"
  },
  {
   "cell_type": "markdown",
   "id": "mx-11",
   "metadata": {},
   "source": "## Linear and logical indexing"
  },
  {
   "cell_type": "code",
   "id": "mx-12",
   "metadata": {},
   "execution_count": null,
   "outputs": [],
   "source": "M = magic(4);\nM(5)\nM(M > 10)'"
  },
  {
   "cell_type": "markdown",
   "id": "mx-13",
   "metadata": {},
   "source": "## Assignment, growth, and deletion"
  },
  {
   "cell_type": "code",
   "id": "mx-14",
   "metadata": {},
   "execution_count": null,
   "outputs": [],
   "source": "x = 1:5;\nx(2) = 20;\nx(8) = 99;\nx"
  },
  {
   "cell_type": "code",
   "id": "mx-15",
   "metadata": {},
   "execution_count": null,
   "outputs": [],
   "source": "y = 1:6;\ny(2:3) = [];\ny"
  }
 ],
 "metadata": {
  "kernelspec": {
   "display_name": "numbl (MATLAB syntax)",
   "language": "numbl",
   "name": "numbl"
  },
  "language_info": {
   "codemirror_mode": "octave",
   "file_extension": ".m",
   "mimetype": "text/x-octave",
   "name": "numbl",
   "nbconvert_exporter": "script",
   "pygments_lexer": "matlab"
  }
 },
 "nbformat": 4,
 "nbformat_minor": 5
}