Solution:To find a key for relation scheme R, we need to identify a minimal set of attributes that uniquely determine all other attributes in the reason. Given the dependencies
C → F
E → A
EC → D
A → B
We can start with attribute sets, and check if they satisfy the closure property to include all attributes.
Now, Let's try {E, C}:
{E, C}+ = {C, E, A, F}
(from C → F and E → A)
It includes all attributes, So {E, C} is a candidate key. We can verify that no subset of {E, C} uniquely determines all attributes, Hence, {E, C} is the key for relation scheme R.