Let X=(X1, X2, X3, X4, X5) and let A be a fuzzy set whose complement is A= ((x3, 1), (x4, 1), (x5, 1)) using the complement function C,(a) where t= 0.25. Then Select one: a. HA(X1)<0.25 and uA(x4) >0.25

Q: Determine whether the set in P_2 is linearly independent.    S={x^2 , +1, 2 - 1, 2}

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Q: Draw the directed graph of the relation R = {(1,2), (2,1), (1,1), (2,2), (3,3), (4,1)} X=123 43

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Q: Let B={(1,-2,1), (4,-7,5), (5,-8,8)], and x=(-6,10,-7) Find [x]B

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Q: 7 Determine whether the set {1, x, x²} is linearly dependent or in- dependent in R (Justify your…

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Q: Let p = 5x + 10x + 3. Find the coordinate vector of p relative to the following basis for P2, P1 =…

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Q: Sdyb5R1bv69bB3jolMqb8Gf_vUowt tvsZfKPvPswk4-2Qw6g/formResponse ii and iii only O, i, and iii Refer…

A: (iii) only is the true statement.

Q: How do you extened an independent set to a basis?

A: Thanks for the question :)And your upvote will be really appreciable ;) To understand this problem,…

Q: 5. Let V₁, V2, V3, and v4 be such that {V1, V2, V3} is linearly dependent and {v2, V3, V4} is…

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Q: Show whether the set {(2, –1, 3), (0, 3, 1), (- 1,1, -2)} in the space R³ is linearly independent.

A: Definition. Let V be a vector space. Vectors v1, v2, . . . ,vk ∈ V are  called linearly dependent if…

Q: Let R, and R2 be relations on a set A = {1, 2, 3, 4}. In particular, let R, = {(1, 1), (1, 2), (2,…

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Q: Which of the following sets is linearly independent? * O M={ (1,0,1),(3,0,3), (0, 0, 0) } O…

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Q: Is the set S linearly independent? Yes No

A: We have to find

Q: The set of polynomials {1, x² + 3x“, 2x² – 7x4} is a linearly independent set in P4.

A: NOTE: Due to time limit answer of 1 is given here, for other please ask in a different question.…

Q: Use MATLAB to determine whether v is a linear combination of the members of set S. If it is, express…

A: Solution An element v is said to be a linear combination of elements of S if there exists elements…

Q: Find the power set of A= {{ }, 1, {b}, 4 } and write how many relations can be defined on A

A: The power set of a set A is the set of all subsets of A. Given A = {{ }, 1, {b}, 4}.

Q: Let a and b be integers. (a) Show that b is a linear combination of a + 3b and a + 2b. (b) Show that…

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Q: Question 2: For which real values of a do the polynomials P1(t) = at? -t-; P2(t) = - + at -; P3(t) =…

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Q: Let the domain of x and y be all people. Let W(x): "x is a woman", M(y): "y is a man", and Lex.y):…

A: The objective is explain the meaning of the statement ∀x∀y Wx∧My→Lx,y

Q: How can the matrix for R-1, the inverse of the relation R, be found from the matrix representing R,…

A: ANSWER :

Q: Determine if the relation R = {(1,3), (1,4), (2,3), (2,4), (3,4)} is reflexive, symmetric,…

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Q: Let T (V₁, V2, V3) w = (4, 1, −1). = (2v1 + V2, 2v2 − 3v₁, V₁ — V3). Find T(–4,5,1) and pre-image of

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Q: Which of the following sets is linearly independent? * O M={(1,3,4),(1,2,5),(-1,0,-2)} O M={(1,1…

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Q: Show how v is orthogonal to any linear combination formed by w1 and w2

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Q: Why is the set {91 +124t² - 61t³, 66 − 58t +93t², 22 + 248t — 87t² } not a basis for P3(R)? Select…

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Q: Let a = (1, 3, 8) and b = (7, 3, 4). Compute 5a + 7b

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Q: A group of 4 students namely Maiyra, Bansan, Kate and Davis from final semester in Computer Sciences…

A: The relation R will be Maiyra,Dip,Maiyra, Computer Vision,Maiyra, Pattern…

Q: Consider following five sets: 1. { , } { } II. { } II. IV. { , , } V. { , } Find all linearly…

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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.