Please solve this numerical analysis problem. Thank you. ??????? ?????? 3. Consider the equivalent system of equations Ax=b where aij?=(i?1)j?1andbi?=i?1 for i,j?{1,,n}. For several n?{13,,25}, solve the system in MATLAB. Then use the solution from MATLAB to propose the exact solution of the system for any n1

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Please solve this numerical analysis problem. Thank you.

$3. Consider the equivalent system of equations \[ A \mathbf{x}=\mathbf{b} \] where \[ a_{i j}=(i-1)^{j-1} \quad \text { and }$ ???????

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3. Consider the equivalent system of equations

A x = b

where

a_{ij} = (i ? 1)^{j ? 1} and b_{i} = i ? 1

for

i, j ? {1, \dots, n}

. For several

n ? {13, \dots, 25}

, solve the system in MATLAB. Then use the solution from MATLAB to propose the exact solution of the system for any

n > 1

. Prove that your guess is correct and explain the presence of any errors in the approximate solution.

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