#x || X →* Find the least-squares solution of the system 1 1 1 1 1 -1 1 1 18 -5 7 13 5

Q: ( 1 A = 1 1 0 0

A: The matrix given to us is  A=111100

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Q: 9. Diagonalize A = 11 9 3 6 14 3 -36-54-13

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A: A=2016285027b=-2,-1,0,1,2T

Q: 1 -2 -1 Use QR factorisation and method of least squares to solve the system 2 -4 2 4 -2,

A: Ww will use Gram Schmidt Orthogonalization to determine the QR decomposition.

Q: 3. By the method of least squares, fit a curve of the form y = ax + bx2 to the points: -1 1 2 3 y -3…

A: We need to fit a curve of the form y =ax +bx2  So we can use  ∑i=1nxiyi=a∑i=1nxi2+b∑i=1nxi3…

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A: We will proceed as further for finding the least squares solution for given set of equations

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Q: True and false Let a, B be two real values of k for which the system of equations x+2y+z =1 x+3y+4z…

A: We have: x+2y+z=1x+3y+4z=kx+5y+10z=k2 This can be written as: 1211341510xyz=1kk2 This is of the form…

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Q: system Find the least-squares solution of the 1 -1 1 X = -4 -8 ** .

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A: NOTE: According to guideline answer of first three subpart can be given, for other please ask in a…

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Q: [ 2. Let A =-5 3 -9 6. 15 –10 - -11 (a) Put A in reduced row echelon form (over R). (b) Use your…

A: aThe given matrix:A=3-96-515-104-117We need to find the row reduced echelon form of…

Q: |.. | Find the least-squares solution of the system 5 -1 1 5 I -3 -3 -20

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A: Given, A=152-2-11, b=325 AX=b 152-2-11xy=325 find ATA and ATb AT=12-15-21

Q: ponding to the augmented matrix. [7 0 8 5 378-9 035-2 X2+ i I3 = 5 X2 + X3 = -9 X1+ X2 + X3 = -2

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Q: Use Gauss-Jordan reduction to solve the system Homework (b) x₁ + x₂ + x3 =0 X1 X2 X3 =0 = -1 = 3 -

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A: (2) fx=1-x12+∑j=13xj-xj+12 to write the problem minxfxas a linear least square problem minxAx-b2

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Q: Problem 8. The goal of this problem is to fit a quadratic function of the form f(x)=c₁2²+₂ to the…

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A: Least square solution of system Ax = b is  A^(T) Ax = A^(T) b

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Q: system Find the least-squares solution of the 1 1 1 1 1 -1 18 || ** 2 - 10

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Q: Find the least-squares solution of the system 1 1 1 1 1 -1 6 6

A: Consider the given system .We know that the least square solution of a system  is the solution of .

Q: Question I Minimise Z - 5a1 + 10r2 Subject to: a1 + 2x2 < 12 a1 + xg 2 6 a1 – 2x2 2 8 #1, x2 2 0.…

A: “Since you have asked multiple question, we will solve the first question for you. If you want any…

Q: x1 + 2x2 – 3x3 = -2 Find the value of k for which the system of equations 3.x1 – x2 – 2x3 = 1 2.x1 +…

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