[1 0 0 1 -2 2r – 4 |0 15. Consider the matrix A where r is a constant. | 1 -r + 2 The values ofr for which A is diagonalizable are

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A: It should be 317 in the place of 308. Because (3162-2845)=317

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Q: 9. Using the notation of the previous problem, prove that for sets A, B, C, DE P(X) AAB = CAD → AAC…

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Q: Iuse series representation to approvimate the integral Hint i Sum the first four terms of the series…

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Q: O Consider K points x1,..., X € C. Show that 0;x; € C, for >0; = 1,0; e R i=1 i=1

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Q: Consider the closed heart curve y(t) = |t|^3/4 *(sin(t),cos(t)) with -pi st s Tt below. (a) Write a…

A: As per your query the solution of part b is given in the next step.

Q: 7. Let X be a normal random variable with parameters u = 10 and o? = 36. Compute P(4 < X < 16).

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Q: Consider the function f(T,y) kr 2xy + y. 1. Show that (0, 0) is a critical point of f(r, y). 2.…

A: This is a problem of multi-variable calculus.

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A: This is the problem of Vector space.

Q: Q3/ The value of k such that P2(1) = 2.8, 2 k 4 Is إجابتك

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Q: 4- From the generating function, prove the recurrence relation: 2n Jn-1(x) + Jn+1(x) In(x)

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Q: Solve the matrix equation Ax = b, where 2 -361 A = and b = -1 16 The solution is: x2 = ||

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Q: Compute the following product. -4 -6 8 [9 -7 -3 4 -4 3 4 -4 1 2 1 -2 9 1 7 || 4.

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Q: Let us expand f(x) = x, 0<r < 1 in the series f (a)-ΣΑ, J, (μεα) , k=1 where denotes the kth zero of…

A: Given : fx=x3 , 0&lt;x&lt;1 We have to expand fx in Fourier-Bessel series           fx=∑k=1∞AkJ3μkx…

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Q: 5. Let X = R? and define d, : R? ×R² →R by d (x,,y,),(x,,y2)) = max {x, – x,|-\y, -y}} . 13 a)…

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Q: Find a Taylor series expansion around x = 2 for f(x) = ln x

A: To find the Taylor series expansion for f(x)=ln(x) around x=2 is given by :-

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Q: Q1.write an 8086 program to perform this formula: x2 Y = E=1 (Using one subroutine) х!

A: We will use python programming to perform this formula. We will compute the finite series sum in the…