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## Main Question or Discussion Point

Hello this is not a new thread but a continutaion of the thread of 6th april which I posted. I do not know how to continue the thread and so was not sure and so started as a new topic again. Please refer to my last post also.

This is regarding P(Tv) where T is the transfromation from V -> W and P is the change of basis from V -> V.

The points which siddharth etal mention is clear but what is unclear is the following What is unclear is that when u are doing this u are actually trying to premultiply a vector which is already in the space W. So does it mean if W ism dim space and P is n x n and m < n then when u multiply the P with Tv do u assume that the u extend the dimension of a vector in W to n by adding n -m 0 s to the end

This is regarding P(Tv) where T is the transfromation from V -> W and P is the change of basis from V -> V.

The points which siddharth etal mention is clear but what is unclear is the following What is unclear is that when u are doing this u are actually trying to premultiply a vector which is already in the space W. So does it mean if W ism dim space and P is n x n and m < n then when u multiply the P with Tv do u assume that the u extend the dimension of a vector in W to n by adding n -m 0 s to the end