Which of the following sets forms a basis for C(A)? -4 -4 -8 4 4 -5 -4 -10 -8 3 -16 -14 –14 1 -2 2 5 4 -5 3 I. -14 -2 -4 -8 -5 -10 II. -16 4 -5 3 3 III. -8 -14 -14 -4 -5 -4 –10 IV. -8 3 -16 -2 2 A. None of the above. B. I, only. С. П, II, only. D. II, only. Е. I, I, IV, only.

Q: For two sets A and B, if A=B, then (i) A and B have the same elements (ii) ACB and BCA (iii) x €…

A: Here we have to find the properties of two sets A and B is A= B.

Q: Let 1 -2 1 -1 -3 1 3 A = -2 -1 1 -1 3 1 3 -4 Then nullity (A) 1 4 2 None 3

A: Let  A=10-2100-1-313-2-11-130130-4

Q: , Exercise 30, Chapter 6.5) Show that there are C(n +r-9₁-92 qr - 1,n9₁-92-qr) different unordered…

A:

Q: Suppose a and b are positive integers and 2021 α 2022 2022 b 2023 If s is the minimum value of a+b,…

A:

Q: Find the number of elements in the set {o E S4lo (3) = 3}.

A:

Q: Q1 Let U : Determine the following. {1, 2, 3} be the universal set and let A = (1, 2}, B = (2, 3}…

A: according to our guidelines we can answer only three subparts, or first question and rest can be…

Q: Explain each step of this proof that C(5, 5) + C(6, 5) + C(7, 5) = C(8, 6): Proof. C(5, 5) + C(6, 5)…

A: The proof of the statement is given in the explanation part.Explanation:Steps and explanations are…

Q: Write each set in the indicated form. If you need to use "..." to indicate a pattern, make sure to…

A:

Q: How many permutations of the set {1,2,3,4} do not correspond to symmetries of the rectangle? Justify…

A: Suppose the vertices of a rectangle are denoted by the numbers 1, 2, 3, and 4. Then, we have four…

Q: Using the Gentzen System G prove ⊢ (A → B) → ((¬A → B) → B) Clearly indicate which rule was applied…

A: We should use the decomposition tree to prove the given logical statement. The given statement is…

Q: Let A={1,5,6,8,10} and R={(1,1), (5,5), (8,8), (10,10),

A:

Q: (1) Let's practice making new sets out of old sets! Say A = {chocolate, vanilla, strawberry} and B =…

A: Q1 (C) asked and answered.

Q: If a and b are even then GCD(a,b) must be 2

A: Given statement :- if a and b are even then GCD(a,b) must be 2

Q: Let D be a set of dogs, R a set of retrievers, and G a set of golden retrievers. Assume that GCR and…

A: a) Given that G⊆R and R⊆DIf, G≠R≠D then we can say that there are some dogs which are not…

Q: marks. (6) The following are the marks obtained by students in a class test. Find the modal Marts…

A:

Q: work): Evaluate the det(A) using any method (but make sure to show your A -2 3 -12 12 -14 19 -20 31…

A: Given:The matrix is given by .To Find:We have to find the determinant of the matrix .

Q: 12 What is the power set of the set {0, 1, 2}? O {{0}, {0}, {1}, {2}, {0, 1}, {0, 2}, {1, 2}, {0, 1,…

A: Set Theory

Q: 1 -2 -17 Let A: -3 3 and b = b2 Describe the set of all b for which Ax = b is consistent. 2 -1 1 b3

A:

Q: (e) There exist subsets A and B of N such that (A-B) n (ANB) = TRUE FALSE

A:

Q: Let A {1,3,5, ... }, then A is well- ordered.

A: Here we have given a set A ={1,3,5,  ...}

Q: Find P(P(P(empty set))) , where P(A) denotes the power set of A.

A: Given  A = Empty set  To find : P(P(P(empty set)))

Q: Question B3: Let A = {a,b}, B = {1,2,3}, and C = {r, s}. (a) Use the roster method to list the…

A: Given sets are  A= a,b ,  B=1,2,3 ,  and  C=r,s   (a)  A×B×C = a,1,r, a,1,s, a,2,r, a,2,s, a,3,r,…

Q: (ii) Determine supremum and the infimum of the set A=(0,10)∩R∪[−2,8]A=(0,10)∩R∪[−2,8] if they exist

A: It is assumed that R denotes the set of real numbers.

Q: Consider the set, A = { 1, 2, 3} what is P(A)? {{1},{2},{3},{1, 2 }, { 1, 3}, { 2, 3},{1, 2, A 3}} В…

A: Given the set A= {1,2,3} Find the power set of A (P(A)) First list the all subset of A

Q: {3,5,6,7,9} (a) State A in standard roster form. A =. (b) Let B := A n{1,2,3,4,5, 6, 7,8}. State B…

A: Given A={3,5,6,7,9} B=A∩{1,2,3,4,5,6,7,8} (b) To state Bin the roster form. (c) To calculate…

Q: (b) Determine whether the following statements below is true or false. universal set = {0,1,2}…

A:

Q: Consider the following statements: T(x, y): "x eats y". A(x): "x is wise". S(x): "x is hungry".…

A:

Q: {0,1,2,5,6,7} (a) State A in standard roster form. A = (b) Let B := A n{1,2,3, 4, 5, 6, 7,8}. State…

A:

Q: 20 (a) Is b a positive, negative, or zero? State your answer and briefly explain/justify why. You…

A: We need to justify the given statements.

Q: Show that if A and B are sets, then P(A) u P(B) C P(A u B), where P(A) denotes the power set of A

A: For a set A, the set of all its subsets is called the power set of A. Now, consider two sets A and…

Q: Let A = {1, 2, 3, 4, 5} and R = {(1, 1), (1, 2), (1, 3), (1, 4), (1, 5), (2, 2), (2, 3), (2, 4), (2,…

A:

Q: If A = {1} and B = {1, 2, 3, 4, 5} , then which of the following is(are) true? Choose one answer and…

A:

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.