9.M.4 Let A = AT be a symmetric matrix, λ be a real number, and v₁ and v2 be vectors such that Αυγ = λυ1, Av₂: = λυγ + 01. Deduce that v₁ = 0. Hint: Compute v Av₂ in two different ways.

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Q: 2. Find the inverse of A = == CN 2 1 -1 3 - -1 2 2 22 12 3 2 using Gauss-Jordan method.

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Q: 8x Show that the three functions: f₁(x) = ex-8, f₂(x) = e³x, f(x) = 4(2x-2) are linearly dependent.

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Q: 5) Give the surface area and the volume of the shape shown. Show all your calculation neatly. a)…

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A: given vector bundle

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Q: 1-x Consider the point P(1,-1, -3), the vector u = (2, 1, 0) and the line l : z+3 = y + 1 = 3 2 Find…

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Q: V. Consider the vector-valued function 1²-5t+6 1²-4 R(t)- (-1, 4, 5). 1. Find the domain of R. 2.…

A: Given: A vector valued function, R→(t)=t2-5t+6t2-4, 2-t2-t+2, sec-1t,t≠2-14, 4, π3,t=2 To find: 1)…

Q: 3. Determine whether the sequence converges or diverges. If it converges, find the limit. an 21+3n =

A: Solution:an=21+3nnOn rewriting this equation, we get 21+3nn which turns into [21n(23)]Here 23=8 that…

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Q: Find the Laurent expansion of g(z) = (2-1)/[2³3 +32² + 2z] in i) 0 < 2 <1 ii) 3<|2| iii) 0<z +2 <1

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Q: MAT 105 © 2020 Kuta Software LLC. All rig Module 1 DRT Assignment 1) A cattle train left Washington…

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Q: III. Let S be the quadric with equation 4x² − (y - 3)² + 4z² = 4. - a. What type of quadric is S?…

A: Since you posted multiple questions, we will solve first part for you. Kindly repost other questions…

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Q: 1. Perform the required integrations to get the result in the notes e2t dr et dr že [00 (tt) Bu(t)dt…

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Q: III. Let S be the quadric with equation 4x² − (y − 3)² + 4z² = 4. a. What type of quadric is S? Find…

A: Given: 4x2-y-32+4z2=4 To find: Plane

Q: 10x + 2y — z = 27 -3x - 6y + 2z = -61.5 x + y + 5z = -21.5 L == Answer x = y = U = N ||

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Q: 4. Consider the matrix equation Ax = b where, A = a b 1 1 where a, b > 0. (a) When is A strictly…

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Q: Let C be the parametric curve defined by x(t) = t²-t-6, [y(t) = 4t³ + 3t² − 6t. a. Determine the…

A: Given: xt=t2-t-6yt=4t3+3t2-6t To find: a) Horizontal tangent line b) Definite integral

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Q: Given the vector function (1) = (e+→¹², 2√³+1, 4 arctan(1-1)), find the speed and the equation of…

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Q: #1. Let C be a space curve defined by the vector-valued function R(t) = (sint cost, sin² t, √√3t).…

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Q: a. Find -R(t), . give the parametric equations of the tangent line to the graph of -R(t) at t=0: 1…

A: Given that R't=4e2t,11+t2,2cosht R0=1,−2,3 To find: R(t) Parametric equation of the tangent line…

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Q: For every real m x n matriz mx m) and a diagonal m x n matriz

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Q: Inz) = Inr ei ) = Inr) + In ( e°0 )=ln r+iᎾ z = reie

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Q: A graph of y = f(x) is shown. In the same coordinate system, sketch a graph of the derivative…

A: Here is the graph of y=fx as shown below,

Q: Let M be a matrix a M-[b] = c d Matrix M is non-singular if and only if O ad + bc #0 O ad - bc #0

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Q: Sketch f(t) and find the Laplace Transformation of the following functions t, 0 < t < 1 i) f(t) =…

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Q: POSSIBLE -10-8-6-4-2 -X 8 10 -2 -4 -6 -8 10 Triangle LMN is reflected across the x-axis, then…

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Q: =X C R

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Q: Evaluate [√x² + y² ds_ along the curve r(t)=(4cost)i+(4sint) j+3tk, −2π ≤t≤ 2a.

A: To find- Evaluate ∫Cx2 + y2 ds along the curve rt = 4costi + 4sintj + 3tk, -2π ≤ t ≤ 2π.

Q: Let S be the quadric with equation 4x² − (y − 3)² + 4z² = 4. What type of quadric is S? Find an…

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Q: x Given the quadric surface T: + 3y² = z + 3. 3 Find an equation of the traces of T on the planes x…

A: Let us find the equation of the traces of T on the given planes one by one.

Q: . SOLVING NHLDECC USING VARIATION OF PARAMETERS (D² + 2D + 1)y = (ex-1)² ANSWER: y = ex(C₁+C₂x -…

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Q: If the graph is Hamiltonian, find a Hamilton cycle; if the graph is Eulerian, find an Euler tour.

A: deg(d)+deg(h) = 4+4 =8 where d and h are not adjacent. Since deg(d)+deg(h) is not greater than the…

Q: Consider the following IVP: y'= 1+ 1st≤2, y(1)=2. t' The actual solution of this IVP is y(t) = t…

A: Solution : y'=1+yt 1≤t≤2 y(1)=2 To find y(1.2). Apply Euler method for n=5 Step size(h)=1.2-15=0.04…

Q: Compute the determinant of the matrix A, below, by using row operations to transform A to an…

A: Given matrices are A=0-5690-6907-970-76-4210-13 B=000000000