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Vectors & matrices

basic vector and matrix arithmetic.

catalog/demo_vectors.qu

A first look at Qu's arrays: a vector, a matrix, and the difference between `*` (matrix multiply) and `.*` (elementwise).

What it exercises

• vector literals, dot(), matrix literals, * vs .*, transpose

How it works

u = [1, 2, 3]
v = [4, 5, 6]
print("u . v = {dot(u, v)}")
print("u + v = {u + v}")

A = [1, 2; 3, 4]
B = [5, 6; 7, 8]
print("A * B  = {A * B}")
print("A .* B = {A .* B}")
print("A'     = {A'}")

Results

u . v = 32
u + v = [5, 7, 9]
A * B  = [19, 22; 43, 50]
A .* B = [5, 12; 21, 32]
A'     = [1, 3; 2, 4]

The whole program

Runnable as it stands: qu run catalog/demo_vectors.qu

# demo_vectors.qu — basic vector and matrix arithmetic.

#

# A first look at Qu's arrays: a vector, a matrix, and the difference

# between `*` (matrix multiply) and `.*` (elementwise).

#

# Exercises:

#   vector literals, dot(), matrix literals, * vs .*, transpose


backend auto

#%% Vectors

u = [1, 2, 3]
v = [4, 5, 6]
print("u . v = {dot(u, v)}")
print("u + v = {u + v}")

#%% Matrices

A = [1, 2; 3, 4]
B = [5, 6; 7, 8]
print("A * B  = {A * B}")
print("A .* B = {A .* B}")
print("A'     = {A'}")