a U (x) = sinx - x + x+5 xtutidt.

Q: Find an integer coefficient cubic that has x = 1 and x = 2+ /3 as zeros.

A: Given: The two zeros of a cubic polynomial are x=1 and x=2+3.

Q: solve the following Volterra integral equations by using the Ado- min decomposition method:

A: The Volterra integral equation given is as follows: ux=1+x2-∫0xx-t+12utdt Using the Adomian…

Q: Determine all the roots of z +1 = 0

A: The given question is related with complex analysis. We have to determine all the roots of z4 + 1 =…

Q: Show that A = has two different factorizations of the form A = L · U where L is lower triangular…

A: Given: A=0001. To show: A has two different factorization of the form A=L·U, where L is lower…

Q: Find QR decomposition

A: Consider the provided matrix A,

Q: ST,¥. xキマ 1. Verify C ノyジ * =ンycO

A: Since, we are asked to solve using Stokes theorem only, we will use theorem to evaluate the integral…

Q: Exer. 81-82: When computations are carried out on a cal- culator, the quadratic formula will not…

A: The first formula is denoted as x=-b±b2-4ac2a and the second formula is denoted as x=2c-b∓b2-4ac. We…

Q: Find the Re and Im parts of exp(z?)

A:

Q: 18. u(x) = cos-11 | zu(t)dt- - TI +

A:

Q: Exercise 3: Find the Laplace transform of f(t) = cos (t -).

A:

Q: Z³ – 1 = iV3

A:

Q: Divide the quaternion on the right 5 + 4i− 6j  of the quaternion 3i+j-2k

A:

Q: Let p(λ) be the characteristic polynomial of the 4 × 4 ma- trix A. Using algebra, you compute the…

A: Given that A is a matrix of order 4×4 and λ be the eigen value,Then characteristic equation is given…

Q: Solve using LU Decomposition: 7x₁2x₂ + x3 = 12 { 14x17x2-3x3 = 17 -7x₁ + 11x₂ + 18x3 = 5 a.) Solve…

A:

Q: Show that A and AT have the same nonzero singular values. How are their singular value…

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Q: 4y + z = 0 12x - 3z = 34 -6x + 4z = 8

A:

Q: Find an integral basis for the field Q(-5+ V-28)

A: We have to find the integral basis for the field ℚ(-5+-28). So here our field is given in the form…

Q: Find a singular value decomposition for A = 16 13 14 5 I 22

A: The given problem is to find the singular value decomposition for the given matrix A. Given matrix A…

Q: © Find the singular value deomposition of the matix I- A =

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Q: e-", if 0 3,

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Q: I d²u dv² tan v sec“ V

A: Find your answer below

Q: 1 3 -1 -3 1 Answer the following questions . Consider the matrix: 3 1 2 1 8 a) Justify why the…

A:

Q: Find all the roots of z4 + 1= 0 and use them to show that z4 +1=(z² – /2z +1)(z² + v2z + 1) -

A:

Q: Find the SVD (Singular value decomposition) of A = 7 00 5 5

A:

Q: Let z = (2 – 2i) (3 +3/3i). Compute z100.

A:

Q: Determine the cube roots of = (1+j3)(2-j)

A: Given complex number is z=(1+3i)(2-i)                     (1) taking log of both side lnz=(2-i)…

Q: Find an orthogonal change of variables, x = Py, that transforms the quadratic form q(x) = x² +…

A: