The dimension of the space spanned by the rows of a matrix is always equal to the dimension of which other space?
Show answer
Column space
It is a non-trivial fact of linear algebra that the row rank and column rank of any matrix are always equal; this shared value is simply referred to as the 'rank' of the matrix.
Also asked as:
- The dimension of the row space of a matrix is always equal to the dimension of which other space?