What do you understand by Cartesian Product?
Cartesian Product is a relational algebra operation that combines tuples from two relations. It is denoted by the symbol 'X'. This operation results in all possible pairs of rows from the two input relations, regardless of whether they have matching values on common attributes.
The degree of the resulting relation is calculated as the sum of the degrees of both relations under consideration. The cardinality of the resulting relation is calculated as the product of the cardinalities of the two relations. For example, if relation DANCE has cardinality 4 and degree 3, and relation MUSIC has cardinality 5 and degree 3, then their Cartesian product DANCE X MUSIC will have cardinality 20 () and degree 6 (3+3).
Explanation
The answer covers the definition, notation, and properties of Cartesian Product as described in the NCERT textbook. The key points include: (1) It combines tuples from two relations, (2) It produces all possible combinations of rows, (3) It is denoted by 'X', (4) The degree of result = sum of degrees of input relations, and (5) The cardinality of result = product of cardinalities of input relations. The example from the textbook (DANCE and MUSIC relations) is used to illustrate the calculation.