Each gust of the clouded mood that seemed warmed by the heat of a heart flaming with anger has its counterpart in the chilly blasts that seem blown from a breast turned to ice with a sudden revulsion of feeling.
The dimension is the number of bases in the COLUMN SPACE of the matrix representing a linear function between two spaces. i.e. if you have a linear function mapping R3 --> R2 then the column space of the matrix representing this function will have dimension 2 and the nullity will be 1.
Definition of dimension for English Language Learners. : the length, width, height, or depth of something : a measurement in one direction (such as the distance from the ceiling to the floor in a room) : the amount or number of things that something affects or influences.