- #1
transgalactic
- 1,395
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there is
[tex]
A\epsilon M_{2x2}(Q)
[/tex]
I am given that A is diagonazable
prove that
A)
[tex]
A^{10}+12A
[/tex]
is diagonizable too
B)give an example for a matrix[tex] B\epsilon M_{2x2}(Q)[/tex]
that is not diagonizable,but b^2 is diagonisable
??
i know that the eigenvalues of a matrix are the same as for every matrix
like A^10 or A^3+2A+3I etc..
but i don't now how to show what they ask
??
[tex]
A\epsilon M_{2x2}(Q)
[/tex]
I am given that A is diagonazable
prove that
A)
[tex]
A^{10}+12A
[/tex]
is diagonizable too
B)give an example for a matrix[tex] B\epsilon M_{2x2}(Q)[/tex]
that is not diagonizable,but b^2 is diagonisable
??
i know that the eigenvalues of a matrix are the same as for every matrix
like A^10 or A^3+2A+3I etc..
but i don't now how to show what they ask
??
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