(a) if KerT = 0 e {v1,· · , Vn} {Tv1, · · ,Tvn} is a base of (b) if {u1,·… , Un} are LI, then {u1, · , Un} is LI. is a base V, then ImT. ... ... ...

Q: 2 Consider the bases B₁ and B₂. 2 -3 -7 4 {{³][])} {₁ 6 -5 B₁ = Find [x]B₂ if [x]B₁ 2 [²]. 6

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A: We have a group Z4. We have to prove that Z4 is cyclic.

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A: Here we have to find the standard form.

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Q: a) e +1 -6 -5 -4 -3 -2 -i 3 శ్రీ

A: Since you have asked multiple question, we will solve the first question for you. If youwant any…

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A: Introduction: The group comprises relatively prime positive integers up to 14 in the range.…

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A: Consider the given information: Let a∈ℝ  Then which statements are correct. Here Second option is…

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A: Given sets are

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A: Answer

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Q: If = C,e=x + C2xe-* + C3x?e¯* + C4e* , then the roots are -1, -1, -1, -1 -1, -1, -1, 1

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Q: 1. For given fuzzy number A={(3/0,4); (4/0,6)(3/0,8)(4/1)}; B={(2/0,7):(3/1): (4/0,7)}. Determine A+…

A: Note- Since you have asked multiple questions, we will solve the first question for you. If you want…

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A: We will find out the required value.

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A: The given vectors are:       a1→=155 , a2→=312 , a3→=36-2 , a4→=-236 The dot product of two vectors…

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A: Given normed space is L20,1. Let S=1,t,t2,…. Observe that Span1,t,t2,… is set of all polynomials. We…

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A: We prove the given argument by using rules of inference.