Question

Determine if the transformation t from R³ to R² is possible?

1) Yes, it is possible
2) No, it is not possible
3) Cannot be determined

Answer 1

No, it is not possible.

Step-by-step explanation:

A transformation from R³ to R² is possible if the number of dimensions in the domain (input space) is greater than or equal to the number of dimensions in the codomain (output space). In this case, R³ represents a 3-dimensional space and R² represents a 2-dimensional space.

Since the number of dimensions in the domain is greater than the number of dimensions in the codomain, it is not possible to have a transformation from R³ to R². Therefore, the answer is option 2) No, it is not possible.