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?
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Science:Math Exam Resources/Courses/MATH307/April 2010/Question 02 (e)/Hint 1
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Given in the question is that
Note that the condition number of a non-invertible matrix is .
We can prove that A is not an invertible matrix by looking at the determinant of the matrix.