find true or false

The range of the transformation x

Ax

is the set of all linear combinations of the columns of A.

A.​False; each image

​T(x​)

is of the form

Ax.

​Thus, the range is not the set of all linear combinations of the columns of A.

B.​False; each image

​T(x​)

is not of the form

Ax.

​Thus, the range is not the set of all linear combinations of the columns of A.

C.​True; each image

​T(x​)

is not of the form

Ax.

​Thus, the range is not the set of all linear combinations of the columns of A.

D.​True; each image

​T(x​)

is of the form

Ax.