{
  "icon" : "square.grid.3x3",
  "id" : "0E222494-3336-52C3-B2B3-48F9081C4CE1",
  "lines" : [
    {
      "id" : "DBF9425B-FD84-511B-91B9-2E826C5124A5",
      "source" : "# Matrix transforms of the plane"
    },
    {
      "id" : "873B7907-C637-5660-B257-40492052E536",
      "source" : "\/\/ Drag the tips of î and ĵ to edit the matrix."
    },
    {
      "id" : "8B3F7F71-C8EC-5A30-9755-E2CA35CD92B8",
      "source" : "M = [1.5, 0.5; 0.25, 1]"
    },
    {
      "id" : "0837A0F3-20BA-59D3-9F29-BC1CD3A937A2",
      "source" : "det(M)"
    },
    {
      "id" : "D867AFF2-B22F-5FCB-B3EE-DB37EB219BB8",
      "source" : "transform(M)"
    },
    {
      "id" : "2AC3ABB1-C030-57E0-83A7-E01836C90933",
      "source" : "inverse(M)"
    },
    {
      "id" : "2431D8BB-52B4-59D0-9A4F-022EAD899D66",
      "source" : ""
    },
    {
      "id" : "C8907EAE-D580-5873-AE7B-8C384E29C923",
      "source" : "# Systems of equations"
    },
    {
      "id" : "7AB8289C-224F-5435-BA44-84D5BA6FE85D",
      "source" : "\/\/ Solve 2x + y = 8 and -3x + y = -11."
    },
    {
      "id" : "709249FC-C59E-5E9E-B8BF-7A0F7793E567",
      "source" : "A = [2, 1; -3, 1]"
    },
    {
      "id" : "8E08707E-3B59-5B53-8025-6C84EA55F13F",
      "source" : "b = [8; -11]"
    },
    {
      "id" : "1A1FA338-D9F1-57DE-9FCE-E8388BF21122",
      "source" : "solution = inverse(A)*b"
    },
    {
      "id" : "87638A8B-1EDE-5812-A61B-C9E5F51D9074",
      "source" : "determinant = det(A)"
    },
    {
      "id" : "A7BC4D09-A89A-5C77-B836-735D49FAE02D",
      "source" : ""
    },
    {
      "id" : "842FB28D-D0D2-57AA-8EEA-3DD63D866425",
      "source" : "# 3D surface"
    },
    {
      "id" : "AD627C86-E496-5CBD-81E5-7898262834AD",
      "source" : "f(x, y) = sin(x)*cos(y)"
    },
    {
      "id" : "2574B4A4-6257-5248-B57C-60962FEB6E59",
      "source" : "plot3d(f(x,y), x, -π, π, y, -π, π)"
    },
    {
      "id" : "C91AF9D1-77B3-571C-82F3-D71285015EAF",
      "source" : "gradient(f(x,y), x, y, π\/4, 0)"
    }
  ],
  "numberStyle" : {
    "decimal" : ".",
    "grouping" : ",",
    "secondaryGroupSize" : 3
  },
  "title" : "Matrices and 3D surfaces"
}