O Let ref(Al=Bmrz0 (2 20 X20 where dij = 10 for all i,5 - which is a True state ment? a) (A,Aay-, A2) is limnearly independent. --- b) DmCspan (A,Az.-, Aao)) = 20 ---I c) B=I, 20120 20X20 d) None of the Above

Q: 5. Let F= [3,2,1] and r= [2,1,–3]. Compute the following: %3D a) Proj „F. b) Orth rF = F – Proj „F.…

A: We know that  ProjrF=r.F∥r∥2r Now, r.F=23+12-31=5 ∥r∥2=r,r        =2,1,-3,2,1,-3        =22+11-3-3…

Q: •) Prove: Ifwis harmonic conjugate of V in a domain I and V is harmonic conjugate of u in a domain…

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

Q: 2) If IAI = 3, where A is a 3x3 matrix, caleulate the folowing: 2a) det ( ZA) 26) det (A) 2c) det (…

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Q: Let a = (5,2,-5) Find the projection projā b =< and 6 = (-5, -3,2). of b onto a.

A: Given: a⇀=5,2,-5 and b⇀=-5,-3,2.We need to find the projection of b⇀ onto a⇀.

Q: SW= 3, g(2)=. n+3 (iYHow do I find (fo5) (a) and the domain of ) How do I find tgopte (gog)2) and…

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Q: < sin!!), w5"1)? aiong.seni-circle. 4) Work done by o trom tJ5, 1) to' (-3,-1) t radius 2 · 个。 3+1…

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Q: It is a fact, which we can verify by cubing, that the zeros of x'– 2 in Q are a2 = V2+iv3 where 2,…

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Q: Let a, is the first and a2 is last number of your ID number, respectively. Write a function f(z)…

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Q: Find parametric equations for the line through Po = (10,-1, 1) perpendicular to the plane 2x + 3y -…

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Q: Does the follorin relations hip define y as a real furction of x Why," AN

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Q: b) У + 8 1 4x on [1,2]

A: The given curve is:y=x48+14x2        on  1, 2

Q: let FCXye+ Siny) f+ (ex+ cos y for pai-) Shoul Hhat F is coserative Vutor Funtion 6) Find a funtion…

A: F is a conservative function iff its curl is 0 that is determined as. Here F is determined to be a…

Q: Find an analytic function (or functions) if Ref(z) = x ² y² + 2x and fli) = 2i -1

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Q: b) Prove: Ifuis harmonic conjugate of V in a domain I and vis harmonic conjugate of u in a domain I,…

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Q: hnd the absolut max and min funcion fx,y)=(48x-lax²)cos L ón the rectangular Plate 1と×-3,-sys IT 4…

A: Absolute maximum and minimum: - Assume that f(x) is defined on interval I. 1. IfxM∈I and  f(x)≤f(xM)…