8 Let I be the line given by the span of 7 in R³. Find a basis for the orthogonal complement L of L. 2 A basis for Lis

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A: We can solve this problem by considering two cases:

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Q: 6（c)(d)

A: We shall use the properties of homomorphism to solve this question

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Q: S 1. 2. 3. 1. Cv (~Dv-X) 2. ~C 3. X 1. AD B 2. B 3. ~AD (~Cv B) 1. ~ADD 2. ~D v (~B~~~~A) 3. ~A 4.…

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Q: Use Cramer's Rule to solve the system. X₁ - 2x₂ = 1 4x₁ + 5x₂ = -5 (X₁₁ X₂) = ( (x1, 15 1 13' 13 X

A: We know thatCramer's rule :For the  following system

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A: Calculations

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Q: 17. If Relation R is on the set of all integers and xRy iff x = y mod 7 determine if R is: a)…

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Q: Solve the following initial value problems. You do not have to derive the solutions from scratch.…

A: We have to solve the initial value problemy'' - 6y' + 9y = 0, y(0)=2, y'(0)=5

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Q: absolute extrema of

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A: 1) ∫sinx dx=−cosx+k12) ∫xn dx=xn+1n+1+k2 , where k1,k2 are constants.3) πcosπ=−1,cos0=1

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Q: 6. Find the global minimum and maximum values of the function f(x, y) = x²+4z-4y² + 4y on the…

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