Question: In Exercises 1 and 2, mark each statement True or False. Justify each answer. 1. a. A linear transformation is a special type of function.

In Exercises 1 and 2, mark each statement True or False. Justify each answer.
1. a. A linear transformation is a special type of function.

d. Every linear transformation is a matrix transformation.
e. A transformation T is linear if and only if
T(c1v1 + c2v2) = c1T(v1 + c2T(v2)
for all v1 and v2 in the domain of T and for all scalars c1 and c2.
2. a. The range of the transformation x ( Ax is the set of all linear combinations of the columns of A.
b. Every matrix transformation is a linear transformation.

d. A linear transformation preserves the operations of vector addition and scalar multiplication.

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