Let A be a 2 × 2 symmetric matrix satisfying A = 9 2 and A 1 with the spectral decomposition 2 [e f a A = 9 Then: - с d Lg h The value of a is The value of b is The value of C is The value of d is

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A: Given PDF is f(x) = 14exifx&lt;034cos(x)if0≤x≤π20ifx &gt; π2

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Q: +00 4+ cos² n 1. 3n – Vn n=1

A: As per our guidelines, we are supposed to solve only first question. Kindly repost other question as…

Q: Let T : R? → R´be defined by [2 _5||X1 X2 1 6] [x2] а If B = is a basis for R“ such that |T'|B is a…

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Q: Prove that the following limit does not exist: lim (z,9)(0,0) I-y

A: To Prove: lim(x,y)→(0,0)x+yx-y does not exists   Here, we will check the value of the limit along…

Q: Given the vectors A = ⟨0, 4, 2⟩, B = ⟨6, −1, 0⟩ and C = ⟨3, 0, 1⟩. Determine the unit vector with…

A: This is a problem of vector Algebra.

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Q: %3D 2. Use the met hod of undet er mined coefficients to solve the syst em x' = Ax+f, where l: f(t)…

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Q: Let S be the solid inside the sphere p = 6cosø and belo the cone Ø = 1/4 Find the volume of the…

A: Given:S the solid inside the sphere ρ = 6cosϕ and below the cone ϕ = π/4

Q: TAKE THE ABSOLUTE VALUE OF YOUR ANSWER! torven: - 2T -T 271 a ftt)= Cos nt Fourier Series si か。…

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Q: Г1 17 a Let A = 2 1 Find a QR-factorization of A. If R then the 1 3 value of a is the value of b is…

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Q: Let W he the subspace of M(R) defined as follows w - Span ( 1-L: D a. What does a typical vector in…

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Q: Question 12 -9 6. The eigenvalues of 1 | are and

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Q: Given: sinx = (-1)" (2п+1)! x2п+1for x € R n=0 Compute the exact value of the sum 0-1)"(2n+1) „2n+…

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Q: If z, is a point on locus given by z+ 8 <2 and z, is a point on locus given by z+3|+ z-3| 10 then…

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Q: Q2) Solve the D.E xdy + (2y-x*+ 3x)dx = 0

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Q: Given: an = In(n+ 1) – In(n) for n E N | Determine if the following is convergent or divergent. (b)…

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A: Power series exaption of the function

Q: Question 4 2 1 1 1 Let V1 = V2 = 3 V3 = 1 V4 = 1 4 8 For what value of t is the set V1, V2, V3, V4}…

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Q: Question 31 2 1 1 U2 = 1 and W =Span{u1; U2, U3}. For 1 Let Uj = Uz = 1 1. 6. in W ? what value oft…

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Q: 8. 1 3 7 k 4 Let A = If the dimension of the eigenspace corresponding 8 5 3 to eigenvalue 8 is 2,…

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Q: ocar bookstore earned a total of Php7.510.00 for the day. If the expenses incurred for today reached…

A: To find the solution of the above given questions :-

Q: Given the matrix G =| 10 5 201 and d, = Then d, and d, are not G- conjugate if d, is given by -1.5]…

A: We know that Two vectors u and v in Rn are A-Conjugate for a matrix A of size n×n if  uTAv = 0…

Q: Let B = {b1, b2} and C = {C1, c2} be two bases for a vector space V. You are given that b1 = 6c1 +…

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Q: A = -3 -1 а ne the linear transformation T: R³ → R² by T(ë) = Aã. Find the images of ū = and i = 6…

A: Given A = -1-63-3-1-2

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Q: 1. Detailed figure showing all flowrates, initial conditions and concentrations of each tank. 2. An…

A: Let the amount of salt in tank A and tank B at time t is x  and   y. Given information is Initially,…

Q: EXERCISES 2: Find all the local maxima, local minima, and saddle points of the functions f(x, y) =…

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Q: Let (V, (, )) be an inner product space and let f, g be vectors in V. If || F|| = 4, || g|| = 5 and…

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Q: 1 3 a Let A 1 1 .Find a QR-factorization of A. If R = then the 1 value of a is , the value of b is…

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Q: 2. Using partial fraction method, find L-'[a DG ]. s+2 s(s-1)(s-4).

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Q: Q5) Find volume of body bounded by z =x-y from below and z = x + y from Above inside y = x²,y = 2.

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Q: In Exercises 1- 4, apply the Jacobi method to the given system of linear equations, using the…

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Q: For all x E R, e* = n=0 n! Express f (x) = x²e* as a power series. Find the third-degree Maclaurin…

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Q: 3. 37 Consider the orthogonal basis B = -3 10 of R3. 3 1 5 Let v = -64 15 a If vB =|b|, what is the…

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Q: by (E)- HA (). [6 11 If B = is a basis for R such that T|B is a diagonal ma %3D then the value of a…

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Q: ř (-1)" V2n2 + 5 Given: power series (x + 1)" n=1 i. Determine if the resulting series of constant…

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Q: Given do = and di = Then de and d, are G- conjugate if Gis %3D Non of these O D [4 21 l2 8l O A B.

A: We want to find the matrix for which the given vectors are G-conjugate