using LinearAlgebra: I

v = [1,2,3]

v = [1;2;3]

v = [
    1
    2
    3
]

f = [2 3 -1]

f*v

(f*v)[1]

g = transpose([2, 3, -1])

g*v

v*g

h = [2,3,-1]'

h*v

v*h

a = [1+2im, 3+4im]

a'

a'a

conj(a)

real(a)

imag(a)

A = [1 2 3; 4 5 6; 7 8 9]

A = [
    1 2 3
    4 5 6
    7 8 9
]

A + 10I

10I*v

A*v

g*A

h*A

g*A*v

h*A*v

x = 1:4

y = 1:3

x .+ im*y'

φ(x, y) = x^2 + im*y
φ.(x, y')

[
    A v
    g 0
]

P = [11 12; 13 14]

Q = [21 22; 23 24]

R = [31 32; 33 34]

S = [41 42; 43 44]

T = [P Q; R S]

1:3

typeof(1:3)

Array(1:3)

Vector(1:3)

collect(1:3)

[1:3;]

[1:5; 4:-1:1]

x = range(1, 3, length=3)

y = range(1, 4, length=4)

x_grid = repeat(x', length(y))

y_grid = repeat(y, 1, length(x))

z = @.(x' + im*y)

x_grid = real(z)

y_grid = imag(z)

ψ(x,y) = x^2 - y^2

ψ.(x_grid, y_grid)

ψ.(x', y)

O = zeros(2, 3)

O_int = zeros(Int, 2, 3)

K = ones(2, 3)

K_int = ones(Int, 2, 3)

E = Matrix{Int}(I, 3, 4)

r = rand(3) # 0～1の一様分布

R = randn(3,3) # 標準正規分布乱数

zero(K)

one(R)

u = Array{Float64, 1}(undef, 3)

u = Vector{Float64}(undef, 3)

X = Array{Float64, 2}(undef, 3, 4)

X = Matrix{Float64}(undef, 3, 4)

S = similar(K)