Question: Let [ 1 + 2 1 1 1 + 2 ] and [ 2 2 ] , where , R are free parameters. a) Compute

Let

[1+2111+2] and [22] ,

where ,R are free parameters.

a) Compute 2(A)=A2A12. What happens to the condition number 2(A) when 0 ?

b) Compute R(A) and N(A) , when =0. What about =0 ?

c) For =0, solve Ax=b using the formula (Cramer's rule)

A1=detA1[a22a21a12a11] .

How does x behave, when =0 and 0? What about =0 and 0?

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