if V is a finite dimensional over F and T belong to A(V) T is singulare iff there exists v not equal to zero...such that vT=0 please prove the reverse part....that is if vT=0 then T is singular Thanks
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Originally Posted by prashantgolu if V is a finite dimensional over F and T belong to A(V) T is singulare iff there exists v not equal to zero...such that vT=0 please prove the reverse part....that is if vT=0 then T is singular Thanks What's your definition of "singular"?? Tonio
By singular I mean that it is either left invertible or right invertible...but not both sided...
Originally Posted by prashantgolu By singular I mean that it is either left invertible or right invertible...but not both sided... Weird definition...but never minds: if were invertible then there'd exist s.t. , with I = the identity (operator or matrix, it never minds), and then Tonio
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