Vector Algebra

*(value)

The value can be matrix, vector, or number.

If the value is matrix, then multiplication is possible only by row-matrix.

v = Vector[1, 2, 3]
m = Matrix[[4, 5, 6]]
v * m
# => Matrix[[4, 5, 6], [8, 10, 12], [12, 15, 18]]

If the value is a vector, then multiplication is possible only by a vector of length 1.

v1 = Vector[1, 2, 3]
v2 = Matrix[2]
v1 * v2
# => Vector[2, 4, 6]

If the value is a number, each element of the vector is multiplied by that number

v1 = Vector[1, 2, 3]
v1 * 2
# => Vector[2, 4, 6]

+(other)

Vectors addition.

v1 = Vector[1, 2, 3]
v2 = vector[3, 2, 0]
v1 + v2
# => Vector[4, 4, 3]

+=(other)

Addition with assignment.

-(other)

Vector subtraction.

-=(other)

Subtraction with assignment.