Hi,

Can you help me with this problem, please

Let T: R^n -> R^n be defined by

T(z1, z2, ... , zn) = (z2-z1, z3-z2, ... , z1-zn)

What is T*, is T invertible and what are che characteristic and minimal polynomials of T?

Thank you!

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- Oct 24th 2008, 01:00 PMmivanovaclassic adjoint T*
Hi,

Can you help me with this problem, please

Let T: R^n -> R^n be defined by

T(z1, z2, ... , zn) = (z2-z1, z3-z2, ... , z1-zn)

What is T*, is T invertible and what are che characteristic and minimal polynomials of T?

Thank you! - Oct 25th 2008, 06:26 AMHallsofIvy
I recommend writing out the matrix corresponding to this for n=2 and 3. That should give you an idea of the pattern.

- Oct 25th 2008, 09:56 AMmivanovaclassic adjoint T*
Would you help me with n=3 for example. Thank you!

- Oct 25th 2008, 09:58 AMmivanovaclassic adjoint T* again
I still don't get it. Can you help me with n=3 for example. Thank you so much!

Let T: R^n -> R^n be defined by

T(z1, z2, ... , zn) = (z2-z1, z3-z2, ... , z1-zn)

What is T*, is T invertible and what are che characteristic and minimal polynomials of T?

Thank you!