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 ?