3. Determine whether each statement is true or false and justify your answer. (a) If A is a 271 × 341 matrix, then Nul(A) is a subspace of R271 (b) If dim Nul(A) = 0, then the columns of A are linearly independent. (c) If A is an m x n matrix and has a pivot in every column, then Nul(A) = R₂. (d) If A is an m x n matrix, Col(A) = Rm and Nul(A) = {0}, then A is invertible.

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Q: True False

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A: Please check step 2 for the solution.!

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