MATH307 April 2010
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Question 02 (d)
A real matrix is brought into its Jordan canonical form
by a matrix , i.e. . Answer the questions below, substantiate all your statements.
(d) What is the determinant of the product matrix if is a Hermitian matrix with full geometric multiplicity?
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By the description of C, we know that C is diagonalizable. This means that it can be written in the form .