# Image of a linear function: image

### 5.47.11 Image of a linear function: image

The image command finds a basis for the image of a linear function.

- image takes one argument:
  A, a matrix representing a linear function with respect to the standard basis.
- image(A) returns a list of vectors that is a basis of the image of the linear function.

#### Example.

Input:

image([[1,1,2],[2,1,3],[3,1,4]])

Output:

⎡
⎢
⎣

−1 | 0 | 1
0 | −1 | −2

⎤
⎥
⎦