Suppose that the set A is such that P(A) = {0, {3}, {5}, {6}, {3,5}, {3,6}, {5, 6}, {3,5,6}}. %3D Express A using the roster method. Write the elements of A in increasing order, and do not include any spaces. Suppose that when the set B is removed from P({2,4, 8, 9}), the following set is obtained as the result: {0, {2}, {4}, {8}, {9}, {2, 4}, {2, 8}, {2, 9}, {4, 8}, {4, 9}, {8, 9}, {2, 4, 8}, {2, 4, 9}, {4,8, 9}, (2, 4 Express B using the roster method. Write the elements of B in increasing order, and do not include any spaces.

Q: Use the given sets to find A∩B A={2,3,5,8,11,15,20} B={4,6,7,9,10,12,13}

A: NOTE: Refresh your page if you can't see any equations. . given sets are

Q: Which of the following sets spans Rº 3 None O {(1,2,3),(0,0,0)(-2,1,0)} {(2, – 1,2),(4,1,3),(2,2,1)}…

A: vectors span R3 means that some combination of the vectors can take up all of the space in R3.

Q: Define the sets A, B, C, and D as follows: A = {-3, 1, 6, 7, 10} B = {-10, -5, 1, 4, 6} C = {x ∈ Z:…

A: Given: The sets are: A=-3,1,6,7,10B=-10,-5,1,4,6C=x∈Z: x is oddD=x∈Z: x is positive To find: The set…

Q: Q14D. Define the sets A, B, C, and D as follows: A = {-3, 1, 6, 7, 10} B = {-10, -5, 1, 4, 6} C =…

A: Given:A=-3,1,6,7,10B=-10,-5,1,4,6C=x∈Z : x is oddD=x∈Z : x is positive To find: A∩D Also, express…

Q: b. Explain that is {(1, 3), (2, 2), (3, 1)} a permutation function on set A = {1, 2, 3}? if it is a…

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Q: Let a1 = [-2  h], and a2 = [10  -20] The set {a1,a2} will span R3 unless h

A:

Q: Which of the following sets spans R? O {(3,0,-2)} O (3,0,-2),(0,0,0)} O ((3,0,-2).(5,1,0).(0,-1,1)}…

A:

Q: Find the set AUB. U= {1, 2, 3, 4, 5, 6} A = (2, 3, 4, 6} B = (1, 2, 5}

A: Using the definition of union of sets.

Q: List down the elements of A = = {x|x²<45,x € Z} A) {0, 1, 2, 3, 4, 5, 6} B {-6, -5, -4, -3, -2, -1,…

A: The objective is to list down the elements of A.

Q: Given A=[1,2,3,4,5,6,7,8,9,10], B=[1,3,5,7,9]. Find A∩B.

A: The objective of the question is determine          " A∩B".

Q: If A = {1, 2, 3, 4, 5} and B = {4, 5, 6, 7, 8}, find the following. (Enter your answers as a…

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Q: Which of the following sets spans IR³? O ((0,1,-1),(0,0,0) O {(-3,0,2).,(5,1,0),(0,1,-1)} {(0,1,-1)}…

A:

Q: Let A = {1,2} and B = {3, 4}. (a) Find A x B (b) How many subsets Ax B of size 2 are there? List…

A: Given that A= {1, 2} and B= {3, 4}A x B is the cartesian product

Q: Let A = {1, 2}, B = {1, 2, 3, 4}, C = {5, 6} and D = {5, 6, 7, 8}. Verify that(i) A × (B ∩ C) = (A ×…

A: i) Answer(i) A × (B ∩ C) = (A × B) ∩ (A × C) (proved)

Q: Which of the following sets spans R³? {(0,1,-1)} None of these O {(0,1,-1).(0,0,0)} O…

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Q: If P = {1, 2}, form the set P × P × P.

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Q: Determine if v is in the set spanned by the columns

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Q: Let A:= {2} and B:= {2,3,5}. Give the Cartesian product of sets A and B, furthermore the power set P…

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Q: Let V be all elements of R2 that have the form (a, a2) where a is a real number. Show that (3,9) is…

A: Let V be all elements of R2 that have the form (a, a2) where a is a real number. We have show that…

Q: Q14B. Define the sets A, B, C, and D as follows: A = {-3, 1, 6, 7, 10} B = {-10, -5, 1, 4, 6} C = {x…

A:

Q: 4 10 11 •12

A: To find the elements of the sets x,y and z from the given venn daigram.

Q: Let result space Q, = {3,5,6,7} and results A = {3,6}, B = {3,6,7}, C = {6,7} given Calculate:…

A: Set: In mathematics, a set is a collection of distinct elements. It is usually denoted by A, B, C…

Q: Consider the following sets: Express each set below using the roster method. Write all elements in…

A: AnswersB ∩ A = {3,5}(B ∩ A) - C = { }=ϕC - (B ∩ A) = {4,6,7}Explanation:(1)B intersection A means…

Q: 8. Consider the set B = {1,2, {3,4}}. (a) Is {3, 4} a subset of B? Why or why not? (b) List all of…

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Q: 2. Express the set using the roster method. (x | XEN and xs 5) Choose the correct answer below. O A.…

A: In given question, we can define the set using roaster method.

Q: Find  the  Power  set  of  the set  {b,c} .

A: The power set of a set contains all of its subsets, the empty set and the set itself. If there are n…

Q: Use the roster method to describe the elements of the following sets. ([-4,6) n (-3, 11)) nZ =…

A: The given sets,The objective is to describe the elements in the given set by roster form.

Q: The Cartesian product A × A has 9 elements among which are found (–1, 0) and (0,1). Find the set A…

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Q: . Let f= {(-4,4), (-2, 4), (1, 3), (3, 5), (4, 6)} and g= {(-4, 2), (-2, 1), (0, 2), (1, 2), (2, 2),…

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Q: Let A = {1,3} and B = {2,4}. (a) Draw a picture of the set A × B. (b) Compute P(A × B).

A:

Q: Use sets U = {1, 2, 3, 4, 5, 6, 7, 8, 9, 10}, A = {2, 3, 7, 8), and B = {3, 4, 5, 6, 7, 9, 10) to…

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Linear Algebra

In mathematics, problems can be solved by the arithmetic operators like addition, subtraction, multiplication, and division. In algebra, we represent the numbers by any letter called a variable. If these variables are of degree 1, then it is studied under linear algebra. The first-degree equations involving algebraic expressions are called linear equations. That is, if you represent it by drawing a graph you will get a straight line.