Question

_________________ is the number of dimensions in the output of a Transformation.

a. Rank
b. Basis
c. Span
d. Linear Combination

Answer 1

d. Linear Combination

Answer 2

Rank is the number of dimensions in the output of a Transformation.

Option (a)

EXPLANATION:

• The rank of a transformation denotes the number of dimensions within the output. For a matrix A, the row rank and column rank are equal, therefore they are called as rank (A)
• A matrix is full-rank if it has rank equivalent to the number of dimensions in its originating space i.e. they denote a transformation which maintains the dimensionality (it does not minimise it to a lesser dimension space)