Relational database theory — evaluate the claim about keys:\n“A candidate key is a determinant that determines all the other columns in a relation.”\nDecide whether this statement is correct or incorrect, keeping in mind the formal definition of candidate key (minimal superkey) and functional determination of all attributes.

Introduction / Context:
In the relational model, keys and functional dependencies describe how attributes (columns) relate. A candidate key is central to design because it uniquely identifies tuples (rows). This question asks whether a candidate key can be described as a determinant for all other columns in the relation.

Given Data / Assumptions:

• We are working with one relation (table) R.
• “Determines” refers to functional determination: X → Y means attributes X functionally determine attributes Y.
• “Candidate key” means a minimal superkey: it functionally determines every attribute in R and has no proper subset with that property.

Concept / Approach:
A candidate key K is defined by two properties: uniqueness (K identifies each tuple) and minimality (no subset of K has the uniqueness property). Uniqueness in terms of dependencies means K → all attributes of R. Because K is minimal, removing any attribute from K breaks that determination. Therefore, calling a candidate key a “determinant of all other columns” is consistent with the formal definition.

Step-by-Step Solution:

Verification / Alternative check:
Consider a Student(roll_no, name, program) relation where roll_no uniquely identifies each student. Then roll_no → name, program, and roll_no is minimal. This matches the claim precisely.

Why Other Options Are Wrong:

• “Incorrect — confuses with foreign key”: foreign keys reference keys in another relation and do not determine all columns here.
• “Only sometimes correct”: the property holds regardless of whether the key is single-attribute or composite.
• “Not enough information” and “Irrelevant” ignore the standard definition of a candidate key.

Common Pitfalls:
Mixing up primary, candidate, and superkeys; forgetting the minimality part of the candidate key definition; assuming determination depends on normal form (it does not).

Final Answer:
Correct — this statement is valid for candidate keys