- #1
Pearce_09
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Hello,
I am having trouble with particular algebra question. I don't know where to start and it would be greatly appreciated if someone could point me in the right direction.
Here is the questoin:
Let V be a vector space, where T is a linear map of V
prove if T^2 = 0 then I - T is bijective where I is the identity matrix
I tried (I-T)(I+T) = I - T^2 which equals I, but i am not sure where to go from here or if this even correct.
thanks for the time and help
regards,
adam
I am having trouble with particular algebra question. I don't know where to start and it would be greatly appreciated if someone could point me in the right direction.
Here is the questoin:
Let V be a vector space, where T is a linear map of V
prove if T^2 = 0 then I - T is bijective where I is the identity matrix
I tried (I-T)(I+T) = I - T^2 which equals I, but i am not sure where to go from here or if this even correct.
thanks for the time and help
regards,
adam