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The Hilbert matrix H, = (hij e Raxm is defined by hij = it-1 The Matlab function hilb(n) returns this matrix. Write a script that

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The Hilbert matrix H, = (hij e Raxm is defined by hij = it-1 The Matlab function hilb(n) returns this matrix. Write a script that prints a table showing the condition number K (H) of H, for n= 1,2,3,.... Stop the table once the condition number is larger than 1/e. Here, e is the machine varepsilon and it could be called in Matlab using the command eps. The condition numbers should be stored in a variable called kappa. Note that the variable kappa is a scalar number, not a vector, so it is overwritten when a new value n is computed. You should obtain the following table n condition number 1 1.00e+00 2 1.93e+01 3 5.24e+02 4 1.55e+04 5 4.77e+05 6 1.50e+07 7 4.75e+08 8 1.53e+10 9 4.93e+11 10 1.60e+13 11 5.22e+14 12 1.62e+16 Script C Reset I MATLAB Documentation

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