Science:Math Exam Resources/Courses/MATH307/April 2010/Question 02 (e)
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Question 02 (e) 

A real matrix is brought into its Jordan canonical form by a matrix , i.e. . Answer the questions below, substantiate all your statements. (e) What is the condition of A? 
Make sure you understand the problem fully: What is the question asking you to do? Are there specific conditions or constraints that you should take note of? How will you know if your answer is correct from your work only? Can you rephrase the question in your own words in a way that makes sense to you? 
If you are stuck, check the hint below. Consider it for a while. Does it give you a new idea on how to approach the problem? If so, try it! 
Hint 

Science:Math Exam Resources/Courses/MATH307/April 2010/Question 02 (e)/Hint 1 
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Solution 

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Please rate my easiness! It's quick and helps everyone guide their studies. Given in the question is that By definition,
Note that the condition number of a noninvertible matrix is . We can prove that A is not an invertible matrix by looking at the determinant of the matrix. Proof:
Thus 