If A = {– 1, 1}, find A × A × A. - Mathematics and Statistics

If A = {– 1, 1}, find A × A × A.

Sum

A = {–1, 1}
∴ A × A × A
= {(–1, –1, –1), (–1, –1, 1), (–1, 1, –1), (–1, 1, 1), (1, –1, –1), (1, –1, 1), (1 , 1, –1), (1, 1, 1)}

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Relations of Sets

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Chapter 1: Sets and Relations - Miscellaneous Exercise 1 [Page 17]

Chapter 1 Sets and Relations
Miscellaneous Exercise 1 | Q 5. (ii) | Page 17

If (x – 1, y + 4) = (1, 2) find the values of x and y.

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If P = {1, 2, 3} and Q = {6, 4}, find the sets P × Q and Q × P.

Write the domain and range of the following relation: {(a, b) / a ∈ N, a < 6 and b = 4}

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{(x, y) / y > x + 1, x ∈ {1, 2} and y ∈ {2, 4, 6}}

Find the following relation as sets of ordered pairs:
{(x, y) / x + y = 3, x, y ∈ {0, 1, 2, 3}}

If A = {1, 2, 3} and B = {2, 4}, state the elements of A × A, A × B, B × A, B × B, (A × B) ∩ (B × A).

Determine the Domain and Range of the following relations : R = {(a, b) / a ∈ N, a < 5, b = 4}

If A = {1, 2, 3}, B = {4, 5, 6} which of following are relation from A to B : R₁ = {(1, 4), (1, 5), (1, 6)}

If A = {1, 2, 3}, B = {4, 5, 6} which of following are relation from A to B : R₂ = {(1, 5), (2, 4), (3, 6)}

If A = {1, 2, 3}, B = {4, 5, 6} which of following are relation from A to B : R₄ = {(4, 2), (2, 6), (5, 1), (2, 4)}