2.40 Use LU decomposition with Doolittle's method to solve the set of equations given by 1 1 2 -1 1 2 2-2 3 1 3 1 15-5 9 X11 X12 X13 X21 X22 X23 X31 X32 X33 X41 X42 X43 = 2 6 12 15 3 9 15 1 -2 10 42 -2

Q: Find uxv, vx, and vx V. U= i +j, v=j+K U × V

A: using cross product of vectors...

Q: Consider the following LP (a) Find the dual of this LP 3x₁ + 4x₂ + x3 x₁ + x₂ + x3 = 50 2x₁ - x₂ +…

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Q: B) Use the LU decomposition you found earlier to 6 Txl 3 1 -6 0 -16 x2 =| 4 8 -17x3 17 solve

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Q: Suppose z is implicitly given as a function of x and y, according to The equation: y−zx3=1−yz2 The…

A: Suppose z is implicitly given as a function of x and y, according to The equation: y−zx3=1−yz2 The…

Q: (-2, 57/6) Find Polat cok dinates two other pairs of cok dinares, one $70, one kco

A: Given information:The initial polar coordinate is .To find:Two additional two polar coordinates with…

Q: complex numbers Z1= 4.5-j5.1 , Z2= 3.2- 5.2, Z3= 2.25-j5.6 , Z4= 7.5-j9.2 , then alculate…

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Q: Solve the equation Ax = b by using the LU factorization given for A. - 6 4 0 0 4 -6 4 6 A = - 12 16…

A: Ans _ A=4−64−1216−78−104=100−3102−114−640−25001 and b=6−82Let l y = b100−3102−11y1y2y3=6−82y1=6 —…

Q: 7) A building is 300 feet tall. It casts a 165 foot long shadow. A statue near the building is 40…

A: Given: A building is 300 feet tall. It casts a 165 foot long shadow. A statue near the building is…

Q: 1.4 Which of the following equations are linear? (iii) x = -7y + 3z (i) x + 5xy – 2z = 1 1 (v) VTx +…

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Q: Consider the following data set Xị -2 1 3 Yi -1 1 And the model y = ao + a‚Sin(x) In the sense of…

A: Consider the given table. xi -2 1 3 yi 2 -1 1 Now, using the least square method. Calculate…

Q: Find a QR factorization of A = 3 1 1 1 -1 3 3

A: A QR factorization of Note: We’ll answer the first question since the exact one wasn’t specified.…

Q: -3 -5 1 -2 Solve for X in the equation, given A = 1 and B = 4 2 2 -4 4 1 (a) ЗX + 2A 3 В X = (b) 2A…

A: If the order of a matrix is p×q, then the number of rows is p and the number of columns is q. Two…

Q: 7. Use Romberg method to calculate 2dx.

A: Romberg Integration is given as :-I=∫abf(x)dx=Rn k+O((b−a2n)2k+2)R0 0R1 0R1 1⋯⋯⋱Rn−1 0Rn−1 1⋯Rn−1…

Q: For the function f(x,y,z) = 4 + 5xy¹ − 32³, find fx, fy, and f₂. fx=0

A: Given function, f(x,y,z) = 4+5xy4-3z5   To be found - fx, fy, fz

Q: 2. Perform just two iterations to solve the following set of non-linear equations using Newton…

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Q: Solve the equation Ax =b by using the LU factorization given for A. 1 1 0 00 12 2 0 -2 -2 -4 10 -2 1…

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Q: 5. (15 pts) Find both of the products AB and BA, if possible, where -4 A = 0 3 -21 -1,B= 2 3 1 -2 62…

A: Multiplication of two matrices A and B is possible if and only if the number of columns in the first…

Q: Solve the equation Ax = b by using the LU factorization given for A. A = 1 -2 3 - 5 2 -2 2 0 -4 12 0…

A: Given

Q: Let A = 2 2 1 24 2 0 23, 1. Compute L such that A = LU, where U 2. Solve At = 6, where L-¹6 = () 0 =…

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Q: Given P₂ = { a+at+at² | ª, ª, a are reals } B= {1-1², t+t², 2-t-t²} and E= {1, t, 1²} [1] Show that…

A: Given:  B=1-t2, t+t2, 2-t-t2 E=1,t,t2 To find: The E coordinates of qt where qB=-123 using change -…

Q: 3. Determine the values of X (X1, X2, X3, X4) and Y (y₁, Y2, y3, y4) using LU Decomposition. 1 2 -1…

A: Here the system is AX=b  Using Gauss elimination process for this decomposition PA=LU  Y=UX  LY=Pb

Q: use the jacobi method to ding approximate solution for x+6y-8z=-6.6 10x-3y+6z=8.6 x+15y-9z=0.8

A: Given x+6y-8z=-6.6           10x-3y+6z=8.6            x+15y-92=0.8 To find: The solution of system…

Q: Find the least squares polynomial of degree one for the data in the following table. Then write the…

A: Given function of the data values is, fx=a0+a1x+a3sinx+a4cosx Therefore, xi yi sin xi cos xi…

Q: Use the given LU factorization to find all solutions to Ax = b 1 0 0 0] [50 -31 1 0 0 0-8 6 9 1 0 0…

A: We have given:To find all solutions to  using the given LU factorization, we can proceed as…

Q: All solutions of the equation z* – 16 = 0 are - z = 2i, z =-2i Ob. z = 2, z = -2 z = 1, z=-1, z=-i,…

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Q: Solve the equation Ax = b by using the LU factorization given for A. 1 00 2-4 4 A = 1 -3 11 3-5 6 ||…

A: Given: A=2-441-3113-56=100121032-112-440-19009, b=0-110 We have to solve the system Ly=b and Ux=y.

Q: Ex: Salve the equation ofD-o Pelatermeth dy inzx

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Q: 1. x₁ + 6x₂ - 8x3 = -6.6 10x₁3x₂ + 6x3 = 8.6 x₁ + 15x₂9x3 = 0.8

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Q: if X = y = Z = 2-1 3 1 3 3 2 -2x 2 X Z 14 find x, y, and z

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Q: Question 18 Given the points (0,-1), (1,2), (2,3), and (3,1). Let y= ax+b be the interpolating…

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