1+t 1. Let V = 2 – t t E R. Determine whether V is a vector space by verifying Axiom ([3 + 2t] 3, Axiom 7 and Axiom 8 if all the other axioms are satisfied. Defined vectors addition and multiplication as: 1+ (t + t2) 2 – (t, + t2) 3 + (2t, + 2t,) 1+t1 1+t2 2 - t1 |+| 2 2 [3 + 2t,] [3 + 2t2] 1+ ct 2 – ct L3 + 2ct] 1+t] c| 2 - t [3 + 2t]

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Q: t U=(-5,9) be universal and set A=(-3,4)  B=(-1,6) , D=(0,8) Find the following: (i)(AnB)' (ii)BuD'

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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,…

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A: This is a problem of Vector space.

Q: 2. Assume u = Z, and let A B = {..., -6, -4, -2,0,2, 4, 6,...} {-9, -6, -3,0, 3, 6, 9,...} {...,…

A: According to guidelines we can solve only first three subparts and rest part can be reposted…

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Q: I need to explain why V is not a vector space over F with respect to the given operations below. I…

A: Your doubt is right, it is a trick question.A vector space must be defined over a field.But, here,…

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Q: Define Vector addition.

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Q: Linear algebra

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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.