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I am having trouble with particular algebra question. I dont 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

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# Algebra help!

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