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: c. How many ways can you choose 3 pieces from the 4 kings and queens (black king, white king, black…

A: Here, order matters. Therefore permutation rule can be applied. Permutation Rule: A permutation is…

Q: Let H = {0, 1, 2, 3, 4, 5, 6, 7, 8, 9, a, b, c, d, e, f} Let W = {(a, b) : a € H, b = H} be the…

A: Answer:-

Q: Suppose you have the following three sets: A={1,2,3,4,5}, B={3,4,5,6}, and B1={4,5,6}.  If f:A⟶B,…

A:

Q: 1. Suppose we would like to define a function f : Q→ Z by the formula f(r) = a +b, where a, b € Z…

A:

Q: Let A= {1,2,x,y,z}, and B= {1,2,3,z}. How many distinct elements are in (A*B) intersect (B*A

A: Given that A=1,2,x,y,zB=1,2,3,z To find the number of distinct elements in A×B∩B×A:

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

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: et V = {1,2,3,4,5,6} and B = {{1,2,3},{1,5,6},{3,4,5},{2,4,6}}. Determine |Aut(V, B)|

A: Given: V = {1,2,3,4,5,6} B = {{1,2,3},{1,5,6},{3,4,5},{2,4,6}}

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: Let U = {1, 2, 3, 4, 5, 6, 7, 8, 9), A = {1, 2, 3, 8}, and B = {1, 2, 3}. Find the set An B. AnB =…

A: U={1, 2,3,4,5,6,7,8,9}A={1, 2,3,8}B={1, 2,3}

Q: Consider the sets (2,4, 7,0, 6, 13} and {3, 9, 10, 8). Always starting from these sets, answer each…

A: 1.When the UNION(7,9) is performed find(7) and find(9) is performed. Then the parent of 7 will be 2…

Q: Let A be the set of odd integers, and let B be the set of positive integers less than 10. Find An B…

A:

Q: Let A = {small, medium, large}, B = {blue, magenta}, and C = {pentagonal, round}. List the elements…

A:

Q: Let A= (1,2, 3, 4}, let B= {a, b, c, d}, and let P(A) denote the set of all subsets of A. Determine…

A:

Q: List all the partitions of B = {a, b, c, d}.

A:

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

A:

Q: Q26. Which subset immediately precedes the subset {X7, X5, X3, X2, X1} of the set S= {X7, X6, X5,…

A: Total number of subset of S =2^8 = 256 Now let's find subsets having 5 elements. {x7,x6,x5,x4,x3}…

Q: Suppose we have a set A={1, 2, 3, 4, 5, 6}. What is the partition of A into three parts? Make sure…

A: We can partition of set A as below

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

A:

Q: What is the domain of the set g= {(2, 1), (3, 5), (4, 7), (5, 9)}

A: GIVEN-  set g is given g={ (2, 1) , (3, 5), (4, 7), (5, 9) }  TO FIND -  DOMAIN OF set g  CONCEPT-…

Q: H3 H4 45 45 40 H1 H6 30 75 75 20 25 H5 40 H2 45 100 90 45 80 H7 H10 50 15 H8

A: Given: A graph with 10 nodes. To find the minimal distance from H1 to any of the other nodes.

Q: Let U = {1, 2, 3, 4, 5, 6, 7, 8, 9, 10}, A = {1, 3, 5, 7, 9}, B = {2, 4, 6, 8, 10}, and C = {1, 2,…

A: Given, U = {1, 2, 3, 4, 5, 6, 7, 8, 9, 10}, A = {1, 3, 5, 7, 9}, B = {2, 4, 6, 8, 10}, and C = {1,…

Q: 4 10 11 •12

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

Q: I 100. Which of the following collection partition of X ? of subsets of set X-1,2,3,4) is a C.…

A:

Q: Recall that each permutation can be written as a product of disjoint cycles. How many permutations…

A:

Q: Let A = {1, 2}. List all the subsets of A. Let B = {1, 2, 3}. List all the subse

A: 1. Let A=1,2find the subsets of A.2.Let B=1,2,3list the subsets of B which are not contained in A.

Q: Find the complement of the set given that U = {0, 1, 2, 3, 4, 5, 6, 7, 8}. (Use the roster method to…

A: Complement of a set: It includes all those elements of universal set which are not in that…

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…

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.