Show R³ is a banach space.

Q: 7. Let A=(1:2:3; 4) and R be the relation on (A) List the ordered pairs in the relation R. (B) Find…

A: Since you have posted multiple questions we will provide the solution only to the first question as…

Q: Determine if there are any inflexions on the graph given by y=2x4-3x³+ x²+6. Proof they are points…

A: The given function y=2x4-3x3+x2+6

Q: Show by example that the union of two convex sets need not to be convex.

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Q: Select all the rules for the translation of RST.

A: From the figure we can clearly see that the co-ordinates of  the points of triangle RST and triangle…

Q: True or False: A Partial Order Relation is transitive, symmetric, and reflexive. True False

A: A partial order Relation is transitive, antisymmetric and reflexive.

Q: Represent the relations on {1, 2, 3, 4} with a matrix and digraphs.  (The rows and columns…

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Q: Determine the minimum for the relation y (x + 16)(x - 8). -64 -16 -226 -144

A: To determine- minimum  for the given relation.

Q: Prove or give counter example an infinite product of discrete spaces may not be discrete

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Q: Can you show an example of Null space?

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Q: Consider an indexed family of sets. B={Bn:neN}, where Bn = {2n, 2n + 1, 2n+2, ..., 3n}. (a) Write…

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Q: State and prove the intermediate value theorem.

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Q: = P2M2x2 by f(ax² + bx + c) = =f: P₂ a (a ² b b). a-c a+b

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Q: Define Function spaces.

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Q: Determine the value(s) of x such that -2 -3 27 2 1]|-3 -3 3 [이 -1 2 18 5 Note: If there is more than…

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Q: Find the transitive closure of the relation R={(1,2),(2,2), (2,3),(3,3)} on the set A=(1,2,3}.…

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Q: (21) Let A, B and C be sets. (a) Prove that (AUB) × C = (A × C) U (B × C). (b) Prove that C × (An B)…

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Q: - Determine the coordinates of the vertex of f(x) = -2x². - - (5, 35) .(-5, –15) .(-5, –40) 1. (-5,…

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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.