Question

5 Compute the condition number of the matrix. You can use matlab to perform the calcu- lations. [ 1 1 1 1 0.001 0 0 B= 0 0.00

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Answer #1

Matlab Code:

clc

B = [1, 1, 1; 0.001, 0, 0; 0, 0.001, 0; 0, 0, 0.001]

condN2=cond(B,2)

vpa(condN2,10)

Output:

B = 1.0000 1.0000 0.0010 Bongo 0.0018 0.01 1.0000 0 0.0010 o 0.0010 condN2 = 1.7321e+03 ans = 1732.051096

Thus, Condition number of matrix B=1732.051096

Note: Condition number is based on norm 2.

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