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  3. problem 2 20 points true or false please give a...

Question: problem 2 20 points true or false please give a...

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Problem 2 (20 points) True or false. Please give a reason or counterexample (whenever is appropriate). a) If the columns of an m x n matrix A span Rm, then the linear transformation A : Rn → Rm is one-to- one kernel of the linear transformation T(x) 21 3t consists of all scalar multiples of the vector b) The c) Suppose T(x) = Ax, with A e R5x3. Then the range of A is R, xal is linearly independent and T is a linear transformation, then {T(x),T(x), T(%)} is also linearly independent.

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