Question: Let A and B be row-equivalent matrices. (a) Show that the dimension of the column space of A is equal to the dimension of

Let A and B be row-equivalent matrices. (a) Show that the dimension

Let A and B be row-equivalent matrices. (a) Show that the dimension of the column space of A is equal to the dimension of the column space of B. (b) Are the column spaces of A and B necessarily the same? Justify your answer.

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