[理工] [線代]99台大電機
大家好，想請教兩題99台大電機的題目
1、suppose that V and W are finite dimentional vector space and that U is a subspace of V.Then there exist a linear transformation T from V to W,such that null(T)=U if and only if dim(U)>=dim(V)-dim(W)
2.suppose T is n*n matrix.Then T is a scalar multiple of the n*n identity matrix if and only if ST=TS for every n*n matrix S
兩題都是true
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