Use a MATLAB version of conjugate gradient to solve the following problems:
a.
b.
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Numerical Analysis
- Help me pleasearrow_forwardwhich of the pollowing rets functions that contain are linearly independent ? C3x (3x -1 x+2, 4x) a. C4, 2x -3) (ex) C2x) e [3 C3x-1) [2 d.) C3x-1) - 3earrow_forwardFor f(x), compute gradient ∇f(x), and determine if f(x) is a linear or a nonlinear function. xi are variables, and α are constants.arrow_forward
- a. decide whether the given equation is intrinsically linear. b. ifthe equation is intrinsically linear, fnd the transformation of y and/or x that linearizes the equationarrow_forwardConsider the binary image shown below. Apply the Sobel operators -1 -2 -1] H₂= 0 0 0 1 2 1 and use the following approximation to compute gradient Pixel value 0 Pixel value 1 -1 0 1 H-2 0 2 -1 0 1 g=G₂|+|G₂| Sketch the gradient of the above binary image. Show all relevant different values in the gradient image.arrow_forward1. The functions fi(x) = 4x, f2(x) = x² + 6x, and fз(x) = 4x² + 12x do not form a linearly independent set of functions. Verify this by writing one of the given functions as a linear combination of the other two functions. (4 pts.)arrow_forward
- Let u and v be the linear functions defined asu(x)=2x+3,v(u)=3x-2.Find the compositions u*v and v*u. Graph the linear functions (u*v)(x)and(v*u)(x)in the same coordinate system.arrow_forwardEach of J, K, L, M and N is a linear transformation from R2 to R². These functions are given as follows: Jx1, х2) %3D (Зхі — 5х2, —6х1 + 10x), K(x1, x2) = (-V3x2, 3x1), L(x1, x2) = (x2, –x1), M(x1, x2) = (Зх1 + 5х, бх1 — бх2), N(x1, x2) = (-v5x1, v5x2). (a) In each case, compute the determinant of the transformation. . det J= ,det K ,det L= ,det M= ,det Narrow_forwardHelp with the following question. Please answer all parts of the question. a) find the gradient p(x,y). b) find the gradient at (1,2).arrow_forward
- Algebra & Trigonometry with Analytic GeometryAlgebraISBN:9781133382119Author:SwokowskiPublisher:Cengage