Compute the lu decomposition of the matrix 2 3 a 4 4

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Algebra & Trigonometry
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Chapter 8 / Exercise 120
Algebra & Trigonometry
Larson
Expert Verified
9. Compute the LU decomposition of the matrix23
10. Compute the Cholesky decomposition of the symmetric positive definite matrix23210[A] = 412101 so that [A] = [U]T[U] with [U] upper triangular.5211. Compute the Cholesky decomposition of the symmetric positive definite matrix[A] =22010 31 2106405601212170so that [A] = [U]T[U] with [U] upper triangular.712.What polynomial q(x) is represented by the MATLABvector below? q = [ 2
What value of y is returned by MATLABin the call to polyval below?
13.Use the first 3 nonzero terms of the Maclaurin series for sin xto approximate sin(0.08342). What is theabsolute difference between your approximate value and the value of sin(0.08432) computed by yourcalculator? Remember to use radianmeasure.14.Determine the equation of the least-squares line that approximates the data(1, 2.1),(2, 2.9),(5, 6.1), and(7, 8.3).15.Write a few lines of MATLABcode to illustrate how you would determine the polynomial interpolant p3(x)of degree at most 3 that interpolates the data(1, 2.1),(2, 2.9),(5, 6.1), and(7, 8.3).16. Approximate the specified integrals using the basic quadrature rule specified.p()2p(a)cos1dx using the trapezoidal rule.
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Algebra & Trigonometry
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Chapter 8 / Exercise 120
Algebra & Trigonometry
Larson
Expert Verified
5ln (1 + x3)dxusing Simpson’s 1/3 rule.(b)32p4(c)tan (sin x) dxusing Simpson’s 3/8 rule.2

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