Dimension of row vector can be written as

Question

Matrix question

Answer 1

A vector can be written as a matrix.

If vector v=v₁i+v₂j+v₃k, where i, j, k are orthogonal unit vectors in 3-space, then the vector can be written as a 1 by 3 matrix: v=( v₁ v₂ v₃ ). This vector has only one row, but 3 columns corresponding to the dimensions in 3-space. A 1 by n matrix could represent a vector in hypothetical n-space.