Q1) A) If U and v arn 2x1 orthnormal vectors and A =UV", the the brace of Aequal 6o A1 8-1 c) 2 d)o メ2 then NCA) is all mal6,plesof: (4) ) ) 4 () 2. 9.

Q: O Let A BE HUUR). Show that Q AB -BA (A-1I) (B-A1) = (8-A1) (A-1), VA eR 6) CA+B)? = A?+2AB +B? → AB…

A: According to our guidelines we can answer only first three sub-parts and rest can be reposted.

Q: 6. What can be concluded about non-zero vectors ü, v and w if a) ü-v-0 b) ü xỹ =0 c) (û ×v) - w=0 e)…

A: As per Bartleby instructions, only 6 d) e) and f) can solved. Upload others separately.  6.d . From…

Q: A = 3+i4 ii) A if i) A + B * & B = 530 B iii) (A/B)-¹ find:

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Q: 4! find lim, B4,-2) S x approachesto I from postve direction.

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Q: 10. Consider the following vectors a = 1+ 41 - 2k and b =-] + 2k a) Calculate a . b b) Calculate a ×…

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Q: Lat m, - :) m - ( ) m - ( ). - (; :). m2 = m3 = If n = e Span(mı, m2, m3) then s =

A: By using the definition of linear span, we can write αm1+βm2+γm3=n, for α, β, γ∈F. After solving the…

Q: If u = -3i-6j and v = 6i+8j, then find u + v. Please show work A) 3i+2j B) -9i+2j C) 2i+2j D) 9i+2j

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Q: 20) Find two sets f polar coordinetes, (r, o),0LOL2 IT Por the point (6,6) in recten- gular…

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Q: I) Which of the following expressions represent vectors? (Zero or more options can be correct) r a)…

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Q: Find the standart devition. Standart sapmayı bulunuz.     A) 7,39 B) 14,78 C) 54,64 D)…

A: Standard deviation= √(summation fiXi2)/n - {(summation fiXi)/n}^2 n= summation fi = (30+40+60+30+25)…

Q: Let A, Be M3x3 be such that • |(8AT B)-1| = -1 2 7 • B-'A-1 = В —8 0 with BER 1 1 then the value of…

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Q: Following setsaf vecbr! 3 which of the below ane linear indépendent. A) {!, &s413t} B) {t, ť°,…

A: According to the given information, it is required to check whether the given vectors are linearly…

Q: True or false? Justify. a) x2y5 = (xy)10 b) 5u2 + 5u3 = 10u5 c) (3r)29s2 = 81r2s2 d) 3…

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Q: QA) Sup pose A- an if CCA)-CCB) the a, is equal to シニ2 Q) B The calunn space of A 222 w all ve chars…

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Q: 3 Let vi = If u l vi and u = 1 ul v2, then r = a) -16 b) -8 c) 12 d) 16 e) 20

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Q: -El--E--E| a) Consider a set of vectors, x =|3 ,y =| 2 , and %3D 14 Can we express the vector, v = 4…

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Q: 2. Which polygon is the translation of polygon 1 by: (a) vector AB? (b) vector BC? 2 В 3 4 A C

A: topic - polygons

Q: A) 13 B) 글 2/3

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Q: 9. A rectangle is formed in R² by the vectors OA = (1, 3) and OB = (6, –1). a) Calculate the…

A: a)Given OA=i+3jOB=6i-jSince OC is diagonal of parallelgram ABCDOC=OA+OBOC=i+3j+6i-jOC=7i+2j

Q: If u = 6i +3j, then find 3u. Please show work A) 9i+6j B) 9i+3j C) 18i+9j D) 18i+3j

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Q: 20) Guien vectors ū =, find: a)-3Ù=< %3D

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Q: B) If u 5i-j+k, v -5j - 5k , w -i-3j+ 2k. Which vectors are perpendicular? Give reasons for your…

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Q: A parallelogram is formed by the vectors = [3,0,-1] and A) 2-√√35 B) 12 sq.un. C) 5/10 sq.un. D)…

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Q: v₁ = (-1,2,1) ₁₂=(3, 1, 1) v₂ = (5,3, k) For which values of k a) {V₁, V₂, V3} spans 1R² ? b) ₂ 6…

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Q: if the Flo)==

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Q: ) AB =BA A282 = B&A2 e) (B?=I 1 AB= - AB) → AB = BA= O AB = BA =0 %3D

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Q: We know that z = f(ax²+by, ear). .If u = ax²+by ^ v = er fe +aeªr. And we know that dz af 2ax- Then,…

A: I am going to solve the given problem by using some simple calculus to get the required result.

Q: U 73 48 55 V Find the tangent of Zu. 48 A) 55 48 B) 73 55 48 55 D) 73

A: All sides of the right triangle are given so just use the trigonometric identities.

Q: 2. The area of the triangle whose adjacent sides are the vectors u and v is a) Ju · v| c) |u x v|…

A: It is known that, the area of the triangle whose adjacent sides are the vectors A and B is 12A×B.

Q: b) Compute S i) C = √z: 121=4} 22²+2+1 dz, where iv) c=fz: 121=4} 22+4 ii) C = {z: 17-61-2} \ii) C=…

A: Step 1: Use Cauchy's integral formulaintegral cf f(z)/z-z0 dz = 2.pi.i.f(z0) here f(z) = given…

Q: Q1) Let U = {a, b, c, d, e, f , g,h, i, j}, A = {a, b, c, d, e}, B = {a, b, d, f, g}, C = {a, d, e}…

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