Cartesian Product: Difference between revisions

Created page with "= Cartesian Product - Definition, Explanation, and Examples = The '''Cartesian Product''' is an operation used in mathematics to combine two sets and form a new set made of ordered pairs. This concept is widely used in set theory, coordinate geometry, and computer science. == Definition == If <math>A</math> and <math>B</math> are two sets, the '''Cartesian product''' of <math>A</math> and <math>B</math> is the set of all ordered pairs where: - The first element is fr..."
 
 
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If you consider <math>A = \{1, 2\}</math> and <math>B = \{3, 4\}</math>, then <math>A \times B</math> can be visualized as points in a table or plane:
If you consider <math>A = \{1, 2\}</math> and <math>B = \{3, 4\}</math>, then <math>A \times B</math> can be visualized as points in a table or plane:


|| **B = 3** || **B = 4** ||
|| B = 3 || B = 4 ||
|------------|-------------|
|------------|-------------|
| (1, 3)    | (1, 4)      |
| (1, 3)    | (1, 4)      |