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Q: a)Compute the condition number of the following matrix using matrix norms ||A||_1 and ||A||_infinity.

[a 1]

[1 1]

And also: What values of a give a large condition number?

So ||A||_1= either 2 or (|a|+1), whichever is bigger. So it would be written as max(2,|a|+1).

And ||A||_infinity is the same as ||A||_1.

How do I bring this together to get the answer I need?

b) Is the following expression a valid norm for x in R^n?

max{|x_2|,|x_3|,|x_4|,...,|x_n|}

Got nothing for this one.

Thanks for any help guys!

Timmy