diff --git a/src/4_Arrays_Linear_Algebra.ipynb b/src/4_Arrays_Linear_Algebra.ipynb
index b8f7db6981a294945950e681589c1cb7298395af..924b065667daf25ce0d275d42f579b09eef2d632 100644
--- a/src/4_Arrays_Linear_Algebra.ipynb
+++ b/src/4_Arrays_Linear_Algebra.ipynb
@@ -1,6 +1,7 @@
{
"cells": [
{
+ "attachments": {},
"cell_type": "markdown",
"id": "4f17d479-4a7d-430c-a1ee-92fcd5ec0c16",
"metadata": {},
@@ -9,6 +10,7 @@
]
},
{
+ "attachments": {},
"cell_type": "markdown",
"id": "c02d808e-3b3d-46c6-8199-320d6fa778aa",
"metadata": {},
@@ -30,10 +32,11 @@
"source": [
"a1 = [10, 20, 30, 40]\n",
"a2 = [\"hi\", \"this\", \"is\", \"an\", \"array\"]\n",
- "@show a1 a2;"
+ "@show a1 a2;\n"
]
},
{
+ "attachments": {},
"cell_type": "markdown",
"id": "f9bbdffd-c37b-4317-b07d-d75003b2f568",
"metadata": {},
@@ -48,10 +51,11 @@
"metadata": {},
"outputs": [],
"source": [
- "a3 = [\"spam\", 2.0, 5, [10, 20]]"
+ "a3 = [\"spam\", 2.0, 5, [10, 20]]\n"
]
},
{
+ "attachments": {},
"cell_type": "markdown",
"id": "a364229e-ed7a-4b7d-b87f-40d073f24682",
"metadata": {},
@@ -70,10 +74,11 @@
"cheeses = [\"Cheddar\", \"Edam\", \"Gouda\"];\n",
"numbers = [42, 123];\n",
"empty = [];\n",
- "print(cheeses, \" \", numbers, \" \", empty)"
+ "print(cheeses, \" \", numbers, \" \", empty)\n"
]
},
{
+ "attachments": {},
"cell_type": "markdown",
"id": "0275af11-5f69-49aa-8b8a-794c82f27590",
"metadata": {},
@@ -90,10 +95,11 @@
"metadata": {},
"outputs": [],
"source": [
- "cheeses[1]"
+ "cheeses[1]\n"
]
},
{
+ "attachments": {},
"cell_type": "markdown",
"id": "7983a3ae-f9cc-410d-888b-f281812add8c",
"metadata": {},
@@ -109,10 +115,11 @@
"outputs": [],
"source": [
"cheeses[2] = \"Gorgonzola\"\n",
- "print(cheeses)"
+ "print(cheeses)\n"
]
},
{
+ "attachments": {},
"cell_type": "markdown",
"id": "918c617e-ffb9-4b90-b9e5-fea8e960ad1e",
"metadata": {},
@@ -133,10 +140,11 @@
"outputs": [],
"source": [
"@show \"Gouda\" ∈ cheeses\n",
- "@show \"Brie\" in cheeses;"
+ "@show \"Brie\" in cheeses;\n"
]
},
{
+ "attachments": {},
"cell_type": "markdown",
"id": "7cd2705c-2d8f-43b3-bb9b-204c1674da50",
"metadata": {},
@@ -155,10 +163,11 @@
"source": [
"for cheese in cheeses\n",
" println(cheese)\n",
- "end"
+ "end\n"
]
},
{
+ "attachments": {},
"cell_type": "markdown",
"id": "3c83a447-2c3b-4cb2-8192-6f0f4249ae2e",
"metadata": {},
@@ -175,10 +184,11 @@
"source": [
"for i in eachindex(numbers)\n",
" numbers[i] = numbers[i] * 2\n",
- "end"
+ "end\n"
]
},
{
+ "attachments": {},
"cell_type": "markdown",
"id": "c6f78ad1-4717-42e8-bb94-6fe33691f563",
"metadata": {},
@@ -195,10 +205,11 @@
"source": [
"for x in []\n",
" println(\"This can never happens.\")\n",
- "end"
+ "end\n"
]
},
{
+ "attachments": {},
"cell_type": "markdown",
"id": "adcdb6d4-35bc-4a1c-bbe0-f023a9ab2509",
"metadata": {},
@@ -215,10 +226,11 @@
"outputs": [],
"source": [
"array = [\"spam\", 1, [\"Brie\", \"Roquefort\", \"Camembert\"], [1, 2, 3]]\n",
- "@show length(array);"
+ "@show length(array);\n"
]
},
{
+ "attachments": {},
"cell_type": "markdown",
"id": "e64ec6e6-dfb7-4e05-ba9e-96cec72955bb",
"metadata": {},
@@ -236,10 +248,11 @@
"source": [
"t = ['a', 'b', 'c', 'd', 'e', 'f']\n",
"print(t[1:3])\n",
- "print(t[3:end])"
+ "print(t[3:end])\n"
]
},
{
+ "attachments": {},
"cell_type": "markdown",
"id": "beee009a-f707-4436-8144-8c7932f122e2",
"metadata": {},
@@ -259,10 +272,11 @@
"@show t1 === t\n",
"\n",
"t2 = t\n",
- "@show t2 === t;"
+ "@show t2 === t;\n"
]
},
{
+ "attachments": {},
"cell_type": "markdown",
"id": "42e8a620-d702-4f92-8d20-58608294fb38",
"metadata": {},
@@ -278,10 +292,11 @@
"outputs": [],
"source": [
"t[2:3] = ['x', 'y']\n",
- "print(t)"
+ "print(t)\n"
]
},
{
+ "attachments": {},
"cell_type": "markdown",
"id": "2ed7448b-9efc-42bf-a24e-22a6e060a1eb",
"metadata": {},
@@ -300,10 +315,11 @@
"t = ['a', 'b', 'c']\n",
"push!(t, 'd')\n",
"pushfirst!(t, '0')\n",
- "print(t)"
+ "print(t)\n"
]
},
{
+ "attachments": {},
"cell_type": "markdown",
"id": "1fb6e797-9d98-4264-a7ad-7fd0b6eb3b89",
"metadata": {},
@@ -321,10 +337,11 @@
"t1 = ['a', 'b', 'c']\n",
"t2 = ['d', 'e']\n",
"append!(t1, t2)\n",
- "print(t1)"
+ "print(t1)\n"
]
},
{
+ "attachments": {},
"cell_type": "markdown",
"id": "b7a64ccf-077b-4f80-81a5-6c3ba0ac9ce3",
"metadata": {},
@@ -340,10 +357,11 @@
"outputs": [],
"source": [
"t = ['a', 'b', 'c']\n",
- "print(insert!(t, 2, 'x'))"
+ "print(insert!(t, 2, 'x'))\n"
]
},
{
+ "attachments": {},
"cell_type": "markdown",
"id": "e5fd6caf-c66c-4c5a-8f95-f72a72caaf9d",
"metadata": {},
@@ -366,10 +384,11 @@
"\n",
"t3 = sort(t2)\n",
"println(t3)\n",
- "@show t3 === t2;"
+ "@show t3 === t2;\n"
]
},
{
+ "attachments": {},
"cell_type": "markdown",
"id": "130876d4-db72-44a9-beec-c39b5b307df9",
"metadata": {},
@@ -387,10 +406,11 @@
"t = ['a', 'b', 'c']\n",
"element = splice!(t, 2)\n",
"println(t)\n",
- "println(element)"
+ "println(element)\n"
]
},
{
+ "attachments": {},
"cell_type": "markdown",
"id": "30b6b7fd-d07a-4792-8250-dd611653bbb1",
"metadata": {},
@@ -408,10 +428,11 @@
"t = ['a', 'b', 'c']\n",
"element = pop!(t)\n",
"println(t)\n",
- "println(element)"
+ "println(element)\n"
]
},
{
+ "attachments": {},
"cell_type": "markdown",
"id": "65fc2a2a-8b06-4dca-910e-2a5d37974460",
"metadata": {},
@@ -428,16 +449,17 @@
"outputs": [],
"source": [
"x = [1, 2, 3, 4, 5, 6, 7, 8, 9];\n",
- "# TODO implement your code here"
+ "# TODO implement your code here\n"
]
},
{
+ "attachments": {},
"cell_type": "markdown",
"id": "393c8cf4-3c4d-400b-a1af-5af69f4dbf87",
"metadata": {},
"source": [
"### Dot syntax\n",
- "For every binary operator like `^`, here is a corresponding dot operator .^ that is automatically defined to perform ^ element-by-element on arrays. For example, `[1, 2, 3]^3` is not defined, but `[1, 2, 3].^3` is defined as computing the elementwise result `[1^3, 2^3, 3^3]`:"
+ "For every binary operator like `^`, there is a corresponding dot operator .^ that is automatically defined to perform ^ element-by-element on arrays. For example, `[1, 2, 3]^3` is not defined, but `[1, 2, 3].^3` is defined as computing the elementwise result `[1^3, 2^3, 3^3]`:"
]
},
{
@@ -447,10 +469,11 @@
"metadata": {},
"outputs": [],
"source": [
- "print([1, 2, 3] .^ 3)"
+ "print([1, 2, 3] .^ 3)\n"
]
},
{
+ "attachments": {},
"cell_type": "markdown",
"id": "8e88b86e-0284-4679-83c3-9b90e47b4e33",
"metadata": {},
@@ -466,10 +489,11 @@
"outputs": [],
"source": [
"t = uppercase.([\"abc\", \"def\", \"ghi\"])\n",
- "print(t)"
+ "print(t)\n"
]
},
{
+ "attachments": {},
"cell_type": "markdown",
"id": "93c1a351-0b39-4baf-86cc-66e1f9277db8",
"metadata": {},
@@ -486,10 +510,11 @@
"metadata": {},
"outputs": [],
"source": [
- "print(collect(\"spam\"))"
+ "print(collect(\"spam\"))\n"
]
},
{
+ "attachments": {},
"cell_type": "markdown",
"id": "c54747e6-1ebc-4b82-af65-77b982bc3835",
"metadata": {},
@@ -505,15 +530,14 @@
"outputs": [],
"source": [
"@show split(\"building an array of strings\")\n",
- "@show split(\"02.11.2023\", \".\");"
+ "@show split(\"02.11.2023\", \".\");\n"
]
},
{
- "cell_type": "code",
- "execution_count": null,
+ "attachments": {},
+ "cell_type": "markdown",
"id": "9f9cf023-a1d5-43d5-8322-13e8319b6637",
"metadata": {},
- "outputs": [],
"source": [
"Finally, `join` is the inverse of split. It takes an array of strings and concatenates the elements:"
]
@@ -528,10 +552,11 @@
"t = [\"building\", \"a\", \"string\"]\n",
"@show join(t)\n",
"@show join(t, \" \")\n",
- "@show join(t, \"-\");"
+ "@show join(t, \"-\");\n"
]
},
{
+ "attachments": {},
"cell_type": "markdown",
"id": "c85d6757-a7ac-442c-879c-418137a2ebd0",
"metadata": {},
@@ -547,10 +572,11 @@
"metadata": {},
"outputs": [],
"source": [
- "# TODO: implement your code here"
+ "# TODO: implement your code here\n"
]
},
{
+ "attachments": {},
"cell_type": "markdown",
"id": "45a34bfb-67c1-4fbc-ae18-c60403dc3dda",
"metadata": {},
@@ -565,15 +591,16 @@
"metadata": {},
"outputs": [],
"source": [
- "# TODO: implement your code here"
+ "# TODO: implement your code here\n"
]
},
{
+ "attachments": {},
"cell_type": "markdown",
"id": "b5fc2426-b30b-4295-bf8e-f0c9b152267c",
"metadata": {},
"source": [
- " - Write a function `even_numbers(x)` which takes as input an array of ingegers and returns a new array containing only the elements which are even."
+ " - Write a function `even_numbers(x)` which takes as input an array of integers and returns a new array containing only the elements which are even."
]
},
{
@@ -583,10 +610,11 @@
"metadata": {},
"outputs": [],
"source": [
- "# TODO: implement your code here"
+ "# TODO: implement your code here\n"
]
},
{
+ "attachments": {},
"cell_type": "markdown",
"id": "756cd401-77f2-4b90-9a87-10b4fcc6c7a7",
"metadata": {},
@@ -595,6 +623,7 @@
]
},
{
+ "attachments": {},
"cell_type": "markdown",
"id": "1c5d8a88-f00e-41a9-ac62-245a25d8c803",
"metadata": {},
@@ -610,10 +639,11 @@
"outputs": [],
"source": [
"A = zeros(Int, 2, 3, 4)\n",
- "@show typeof(A);"
+ "@show typeof(A);\n"
]
},
{
+ "attachments": {},
"cell_type": "markdown",
"id": "e2dafffd-9538-477b-9aec-7fb04d3f9d99",
"metadata": {},
@@ -631,10 +661,11 @@
"v = [1, 2, 3, 4, 5]\n",
"@show typeof(v)\n",
"m = [1 2 3; 4 5 6; 7 8 9]\n",
- "@show typeof(m);"
+ "@show typeof(m);\n"
]
},
{
+ "attachments": {},
"cell_type": "markdown",
"id": "b1fc0ccd-1b16-4fec-9825-561198fa3763",
"metadata": {},
@@ -650,10 +681,11 @@
"outputs": [],
"source": [
"m = [1 2 3]\n",
- "@show typeof(m);"
+ "@show typeof(m);\n"
]
},
{
+ "attachments": {},
"cell_type": "markdown",
"id": "9b91edb6-def2-4fa1-8b7a-b3db96e850be",
"metadata": {},
@@ -670,10 +702,11 @@
"source": [
"@show Vector{Any} === Array{Any, 1}\n",
"@show Matrix{Any} === Array{Any, 2}\n",
- "@show Matrix{Any} === Array{Any, 3};"
+ "@show Matrix{Any} === Array{Any, 3};\n"
]
},
{
+ "attachments": {},
"cell_type": "markdown",
"id": "00c7fd47-c3aa-41f7-81a4-d08510126d85",
"metadata": {},
@@ -689,10 +722,11 @@
"outputs": [],
"source": [
"@show Vector{Float32} <: Vector{Real}\n",
- "@show Vector{Real} <: Vector{Any};"
+ "@show Vector{Real} <: Vector{Any};\n"
]
},
{
+ "attachments": {},
"cell_type": "markdown",
"id": "1205c3f4-2e97-4952-86f2-bc8e44d638f7",
"metadata": {},
@@ -701,6 +735,7 @@
]
},
{
+ "attachments": {},
"cell_type": "markdown",
"id": "a6a69a05-dfa3-42f9-a011-579478a8a9c1",
"metadata": {},
@@ -718,10 +753,11 @@
"v1 = [1, 2, 3]\n",
"v2 = Float32[1, 2, 3]\n",
"@show typeof(v1)\n",
- "@show typeof(v2);"
+ "@show typeof(v2);\n"
]
},
{
+ "attachments": {},
"cell_type": "markdown",
"id": "1a73ec49-da56-4724-af51-883dd3c92da9",
"metadata": {},
@@ -739,10 +775,11 @@
"v1 = zeros(5)\n",
"v2 = ones(5)\n",
"v3 = rand(5)\n",
- "@show v1 v2 v3;"
+ "@show v1 v2 v3;\n"
]
},
{
+ "attachments": {},
"cell_type": "markdown",
"id": "95b897c2-f58c-48fa-a845-e0a6a8934b9f",
"metadata": {},
@@ -760,10 +797,11 @@
"v1 = zeros(Integer, 5)\n",
"v2 = ones(Float32, 5)\n",
"v3 = rand(Float32, 10)\n",
- "@show v1 v2 v3;"
+ "@show v1 v2 v3;\n"
]
},
{
+ "attachments": {},
"cell_type": "markdown",
"id": "d6315e57-2614-4caf-a50c-0e192ac19672",
"metadata": {},
@@ -782,10 +820,11 @@
"v2 = [1, 1, 1]\n",
"\n",
"@show v1 - v2\n",
- "@show v1 + 2*v2;"
+ "@show v1 + 2*v2;\n"
]
},
{
+ "attachments": {},
"cell_type": "markdown",
"id": "09784b0e-9e8d-4271-a8d7-2c2ad409fad9",
"metadata": {},
@@ -802,10 +841,11 @@
"source": [
"using LinearAlgebra\n",
"v = [1, 2, 3]\n",
- "@show dot(v, v);"
+ "@show dot(v, v);\n"
]
},
{
+ "attachments": {},
"cell_type": "markdown",
"id": "4605b075-3754-46cc-9fbc-2c1bb22e95da",
"metadata": {},
@@ -821,10 +861,11 @@
"outputs": [],
"source": [
"@show typeof(v) v\n",
- "@show typeof(v') v';"
+ "@show typeof(v') v';\n"
]
},
{
+ "attachments": {},
"cell_type": "markdown",
"id": "3aad0875-2339-47f6-ae1f-bd5ca455bec2",
"metadata": {},
@@ -833,6 +874,7 @@
]
},
{
+ "attachments": {},
"cell_type": "markdown",
"id": "243b7d80-11c6-4b2f-af93-0e4f5a56deee",
"metadata": {},
@@ -851,10 +893,11 @@
"m2 = ones(Float32, 3, 3)\n",
"m3 = rand(Float32, 3, 3)\n",
"m4 = Float32[1 2 3; 4 5 6]\n",
- "@show m1 m2 m3 m4;"
+ "@show m1 m2 m3 m4;\n"
]
},
{
+ "attachments": {},
"cell_type": "markdown",
"id": "19df2da4-a6fe-44d5-aacc-070e27086c37",
"metadata": {},
@@ -869,10 +912,11 @@
"metadata": {},
"outputs": [],
"source": [
- "@show diagm([1, 2, 3]);"
+ "@show diagm([1, 2, 3]);\n"
]
},
{
+ "attachments": {},
"cell_type": "markdown",
"id": "98f05747-23ba-46f1-afc1-31c5de94de8c",
"metadata": {},
@@ -888,10 +932,11 @@
"outputs": [],
"source": [
"m1 = [1 2 3; 3 4 5; 6 7 8]\n",
- "@show I*m1;"
+ "@show I*m1;\n"
]
},
{
+ "attachments": {},
"cell_type": "markdown",
"id": "0f341138-d1e7-425a-a54b-d5278ae1a48b",
"metadata": {},
@@ -908,10 +953,11 @@
"source": [
"m1 = [1 2 3; 3 4 5; 6 7 8]\n",
"m2 = [1 0 0; 0 0 0; 0 0 0]\n",
- "@show m1 * m2;"
+ "@show m1 * m2;\n"
]
},
{
+ "attachments": {},
"cell_type": "markdown",
"id": "06b6d25f-92a1-4768-bdd8-760fa9212879",
"metadata": {},
@@ -928,10 +974,11 @@
"source": [
"m1 = [1 2; -1 2]\n",
"@show I/m1;\n",
- "@show inv(m1);"
+ "@show inv(m1);\n"
]
},
{
+ "attachments": {},
"cell_type": "markdown",
"id": "eab561b9-b034-49e6-a100-09b201ff4caa",
"metadata": {},
@@ -948,10 +995,11 @@
"source": [
"m1 = [0 -1im ; 2im 0];\n",
"@show m1\n",
- "@show m1';"
+ "@show m1';\n"
]
},
{
+ "attachments": {},
"cell_type": "markdown",
"id": "d827b0b8-ead4-48c7-83bd-399ef7927414",
"metadata": {},
@@ -968,10 +1016,11 @@
"source": [
"m1 = [1 2 3; 3 4 5; 6 7 8]\n",
"@show det(m1);\n",
- "@show tr(m1);"
+ "@show tr(m1);\n"
]
},
{
+ "attachments": {},
"cell_type": "markdown",
"id": "5c2d37bb-4417-4f9c-a894-352a2a5c741b",
"metadata": {},
@@ -988,10 +1037,11 @@
"metadata": {},
"outputs": [],
"source": [
- "m = [3 0.5 0.1; 0.1 5 0.2; 0.2 0.1 3]"
+ "m = [3 0.5 0.1; 0.1 5 0.2; 0.2 0.1 3]\n"
]
},
{
+ "attachments": {},
"cell_type": "markdown",
"id": "ff83a09a-6ede-44df-8151-96e7ce961489",
"metadata": {},
@@ -1007,10 +1057,11 @@
"outputs": [],
"source": [
"λ, V = eigen(m)\n",
- "m1 = V * diagm(λ) * inv(V)"
+ "m1 = V * diagm(λ) * inv(V)\n"
]
},
{
+ "attachments": {},
"cell_type": "markdown",
"id": "cba4ddfc-bcdf-4c3b-8fb4-1237ec15bf44",
"metadata": {},
@@ -1026,10 +1077,11 @@
"outputs": [],
"source": [
"U, λ, V = svd(m)\n",
- "m1 = U * diagm(λ) * V'"
+ "m1 = U * diagm(λ) * V'\n"
]
},
{
+ "attachments": {},
"cell_type": "markdown",
"id": "3ae3a97a-aa0d-41a4-b957-1346860ad638",
"metadata": {},
@@ -1048,10 +1100,11 @@
"m1 = L * U\n",
"@show L\n",
"@show U\n",
- "@show m1;"
+ "@show m1;\n"
]
},
{
+ "attachments": {},
"cell_type": "markdown",
"id": "d9116b9e-7650-4421-8497-40a440a842b8",
"metadata": {},
@@ -1067,10 +1120,11 @@
"outputs": [],
"source": [
"h = m + m'\n",
- "L = cholesky(h)"
+ "L = cholesky(h)\n"
]
},
{
+ "attachments": {},
"cell_type": "markdown",
"id": "3f6ecf2e-0ca5-4fa4-ba39-541a7359564b",
"metadata": {},
@@ -1080,6 +1134,7 @@
]
},
{
+ "attachments": {},
"cell_type": "markdown",
"id": "dae5385d-add4-47c2-9f7b-d8787942c22c",
"metadata": {},
@@ -1088,6 +1143,7 @@
]
},
{
+ "attachments": {},
"cell_type": "markdown",
"id": "f5332b7c-c974-4949-a395-7219fcfc049f",
"metadata": {},
@@ -1102,10 +1158,11 @@
"metadata": {},
"outputs": [],
"source": [
- "# TODO: implement your code here"
+ "# TODO: implement your code here\n"
]
},
{
+ "attachments": {},
"cell_type": "markdown",
"id": "62c05d6b-6772-407b-a3cd-581ef829af4d",
"metadata": {},
@@ -1120,7 +1177,7 @@
"metadata": {},
"outputs": [],
"source": [
- "# TODO: implement your code here"
+ "# TODO: implement your code here\n"
]
}
],