MATH307 December 2010
• Q1 (a) • Q1 (b) • Q1 (c) • Q1 (d) • Q1 (e) • Q2 (a) • Q2 (b) • Q2 (c) • Q2 (d) • Q2 (e) • Q3 (a) • Q3 (b) • Q3 (c) • Q3 (d) • Q4 (a) • Q4 (b) • Q5 (a) • Q5 (b) • Q5 (c) • Q6 (a) • Q6 (b) • Q6 (c) • Q6 (d) • Q6 (e) • Q6 (f) • Q7 (a) • Q7 (b) • Q7 (c) •
Question 01 (b)
where a is a real number.
(b) For what values of a (if any) is cond(A) not defined? Give a reason.
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For which values of a is A not invertible?
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Please refer to part (a) regarding the computation of
With A being a diagonal matrix, its inverse is given by:
valid for all values where a is nonzero. When a is zero, this inverse, and hence cond(A) is undefined. Similar to , we have and these are defined for all nonzer values of a.
So cond(A) is defined for all values of a, except a = 0.
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