Unite Two Vectors

unite_vectors(vector_one, vector_two)

Unites two row vectors into a single matrix whose columns coincide with the input vectors

Parameters

  • vector_one (list of int or float) – List of numbers representing a vector

  • vector_two (list of int or float) – List of numbers representing a vector

Raises

  • TypeError – Arguments must be 1-dimensional lists

  • TypeError – Elements of arguments must be integers or floats

  • ValueError – Both arguments must contain the same number of elements

Returns

matrix – List containing lists; length of outer list will equal lengths of supplied vectors; length of inner lists will equal two

Return type

list of lists of int or float

See also

single_dimension(), partition()

Notes

  • First vector: \(\langle a_1, a_2, \cdots, a_n \rangle\)

  • Second vector: \(\langle b_1, b_2, \cdots, b_n \rangle\)

  • Matrix unifying first and second vectors: \(\begin{bmatrix} a_1 & b_1 \\ a_2 & b_2 \\ \cdots & \cdots \\ a_n & b_n \end{bmatrix}\)

Examples

Import unite_vectors function from regressions library
>>> from regressions.vectors.unify import unite_vectors
Unite [1, 2, 3] and [4, 5, 6]
>>> matrix_3x2 = unite_vectors([1, 2, 3], [4, 5, 6])
>>> print(matrix_2x3)
[[1, 4], [2, 5], [3, 6]]
Unite [-5, 12] and [3, -7]
>>> matrix_2x2 = unite_vectors([-5, 12], [3, -7])
>>> print(matrix_2x2)
[[-5, 3], [12, -7]]