The Cartesian product of two lists of numbers A and B is defined to be the set of all points (a,b) where a belongs in A and b belongs in B. It is usually denoted as A x B, and is called the Cartesian product since it originated in Descartes' formulation of analytic geometry.

a. True
b. False

Respuesta :

The properties and origin of the Cartesian product as stated in the paragraph

is true, and the correct option is option;

a. True

The reason why the above option is correct is stated as follows;

In set theory, the Cartesian product of two number sets such as set A and set

B which can be denoted as lists of numbers is represented as AƗB and is the

set of all ordered pair or points (a, b), with a being located in A and b located

in the set B, which can be expressed as follows;

[tex]\left[\begin{array}{c}A&x&y\\z\end{array}\right] \left[\begin{array}{ccc}B(1&2&3)\\\mathbf{(x, 1)&\mathbf{(x, 2)}&\mathbf{(x, 3)}\\\mathbf{(y, 1)}&\mathbf{(y, 2)}&\mathbf{(y, 3)}\\\mathbf{(z, 1)}&\mathbf{(z, 2)}&\mathbf{(z, 3)}\end{array}\right]}[/tex]

The name Cartesian product is derived from the name of the philosopher,

scientist and mathematician Rene Descartes due to the concept being

originated from his analytical geometry formulations

Therefore, the statement is true

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