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What is meant by the following relational algebra statement : STUDENT × COURSE?
1. Compute the natural join between the STUDENT and COURSE relations
2. Compute the left outer join between the STUDENT and COURSE relations
3. Compute the certesian product between the STUDENT and COURSE relations
4. Compute the outer join between the STUDENT and COURSE relations

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Correct Answer - Option 3 : Compute the certesian product between the STUDENT and COURSE relations

Concept

Cartesian Product

It is also an operator that works on two sets. It is sometimes called the CROSS PRODUCT or CROSS JOIN. It combines the tuples of one relation with all the tuples of the other relation.

Syntax 

table_name1 × table_name2

Example

Table 1

A 1
B 2
C 3


Table 2

A 1
B 2
C 3


Cartesian Product = Table1 × Table2

A 1 A 1
A 1 B 2
A 1 C 3
B 2 A 1
B 2 B 2
B 2 C 3
C 3 A 1
C 3 B 2
C 3 C 3


Important Points

Natural Join

It is also known as equijoin. Such joins result in two attributes in the resulting relation having exactly the same value. A `natural join' will remove the duplicate attribute(s). the natural join will require that the attributes have the same name to identify the attribute(s) to be used in the join. 

Outer Joins

An outer join retains the information that would have been lost from the tables, replacing missing data with nulls.

There are three forms of the outer join, depending on which data is to be kept.

  • LEFT OUTER JOIN - keep data from the left-hand table
  • RIGHT OUTER JOIN - keep data from the right-hand table
  • FULL OUTER JOIN - keep data from both tables

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