- #1
vish_maths
- 61
- 1
Hello !
I have an upper triangular matrix for an operator T in which an eigen value has been repeated s times in total.
Derive an expression for s .
My thoughts : ( Let * imply contained in )
then :I know that :
(a)
Null T0 * Null T1 *...*Null Tdim V = Null Tdim V + 1 = ...
(b) Will i have to investigate the effect of higher powers of ( T - k I ) where k is the intended eigen value ??
(c) the book which i am reading : Sheldon Axler's Linear Algebra hasn't introduced Jordan form as of now.
Any direction for this will be appreciated. Thanks
Can i prove it from these results ?
I have an upper triangular matrix for an operator T in which an eigen value has been repeated s times in total.
Derive an expression for s .
My thoughts : ( Let * imply contained in )
then :I know that :
(a)
Null T0 * Null T1 *...*Null Tdim V = Null Tdim V + 1 = ...
(b) Will i have to investigate the effect of higher powers of ( T - k I ) where k is the intended eigen value ??
(c) the book which i am reading : Sheldon Axler's Linear Algebra hasn't introduced Jordan form as of now.
Any direction for this will be appreciated. Thanks
Can i prove it from these results ?
Last edited: