Answer
a. True.
b. False
c. False
d. False
e. True
Work Step by Step
a. Function from $R^n$ to $R^m$ are defined. A linear transformation has its unique properties.
b. The domain is $R^5$ since domain is based on column not row.
c. The range is the set of all linear combinations of the columns of A.
d. Linear transformation is a kind of matrix transformation since linear also counted as $ 1 * N $ matrix
e. Since it's linear, the factor can be factor out to form a linear equation