Mark each statement True or False. Justify each answer. (a) If the equation Ax = b is inconsistent, then b is not in the set spanned by the columns of A. (b) If the augmented matrix [A b] has a pivot position in every row, then the equa- tion Ax = b is inconsistent. (c) If A is an m x n matrix whose columns do not span R" , then the equation Ax is inconsistent for some b in R"

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