Let S = {u_1, u_2, …u_n}, be linearly independent subset of R^m and B elementof M_m times m (R) is

Let S = {u_1, u_2, …u_n}, be linearly independent subset of R^m and B elementof M_m times m (R) is invertible. Prove that the set L_B(S) = {Bu_1, B_u2, …, B_un} is also linearly independent.

 

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