Question: Let A be a 4 x 3 matrix. Consider the following statements. (i) The row space of A is a subspace of R'. (ii)

Let A be a 4 x 3 matrix. Consider the following statements.

Let A be a 4 x 3 matrix. Consider the following statements. (i) The row space of A is a subspace of R'. (ii) The set consisting of all of the row vectors of the reduced row-echelon form of A is a basis for the rowspace of A. (iii) The vector (0, 0, 0)' is in the column space of 4. Determine which of the above statements are always True (1) or may be False (2).

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