### A Pluto.jl notebook ###
# v0.12.6

using Markdown
using InteractiveUtils

# ╔═╡ 460801f2-157a-11eb-3658-9d307bab4389
a = [1, 2, 3] # vectors need commas; without it's a matrix

# ╔═╡ 9598a998-170e-11eb-121d-bd32a8b635e8
A = [1 2 3]

# ╔═╡ 99361c56-157a-11eb-358b-052df821fa7a
supertypes(typeof(a))

# ╔═╡ de0fe940-170c-11eb-3d9f-ef06b9e2e5cc
AbstractArray{Int, 1} == AbstractVector{Int}

# ╔═╡ 1c6f0554-170d-11eb-2a68-8781698b424a
AbstractArray{Int, 2} == AbstractMatrix{Int}

# ╔═╡ 64ce9d96-170d-11eb-3ad4-750514d8b1e5
supertypes(Matrix{Int})

# ╔═╡ 6a7549a2-170d-11eb-0c93-956b6767716a
AbstractMatrix{Int} in supertypes(Matrix{Int})

# ╔═╡ af3d6d8a-170d-11eb-090a-6156e3fe68f3
# in Julia vector and scalars are different
c = 1

# ╔═╡ fcfeba42-170d-11eb-0adf-47738ff9966f
v = [1]

# ╔═╡ a94656e0-170e-11eb-349c-6f67df33b694
M = [1 2; 3 4]

# ╔═╡ d1ea4808-170d-11eb-0da3-85546b4a84cb
typeof(c), typeof(v), typeof(M)

# ╔═╡ e5ac61ae-170e-11eb-3333-2502ddcbe665
# ndims, size. work like in matlab
ndims(c), ndims(v), ndims(M)

# ╔═╡ f60f9c78-170e-11eb-2153-a3b8da1bc465
size(c), size(v), size(M)

# ╔═╡ cda89e3e-1717-11eb-39d5-fb6f72356405
# length is equivalent to Matlab's numel, and also works on scalars
length(c), length(v), length(M)

# ╔═╡ 04713bc8-170f-11eb-3da7-ddfd3f4d8cfe
# except that size() returns a tuple
typeof(size(M))

# ╔═╡ 8a2a5e40-1712-11eb-0a43-8d18e6f18da4
# indexing an element produces a scalar, contrary to matlab
M[1, 2]

# ╔═╡ b44d27ee-1c66-11eb-17e9-754563299763
# indexing a full row or column always returns a 1 dimensional array
M[1, :]

# ╔═╡ ca9e20b0-1712-11eb-15e0-93bbc100efa0
a[1]

# ╔═╡ f4908192-1712-11eb-20d8-97d992c4fc0d
# difference from matlab: vectors are column vectors by default:
# it becomes apparent by transposing (result is two-dimensional)
transpose(a)

# ╔═╡ 81e6f900-1717-11eb-03e7-15e486b854d9
#adjoint is
[1+im, 3]' # or (adjoint a)

# ╔═╡ 848dd826-1ba0-11eb-1222-f5b9be57de44
# create an array of undefined elements
ten_integers = Array{Int}(undef, 10)

# ╔═╡ a44f73a2-1ba0-11eb-3199-7703ad587000
# create an array of ten elements initalized to 3
ten_3 = fill(Int32(3), 10)

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