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Which of the following statements are true?A. If the columns of an m X n...

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Algebra

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Which of the following statements are true?A. If the columns of an m X n matrix A span R?, then the equation Ax=b is consistent for each b in R?.B. Every matrix equation Ax=b corresponds to a vector equation with the same solution set.C. The equation Ax=b is referred to as a vector equation.D. A vector b is a linear combination of the columns of a matrix A if and only if the equation Ax=b has at least one solution.E. If the augmented matrix [ A b] has a pivot position in every row, then the equation Ax=b is inconsistent.F. Any linear combination of vectors can always be written in the form Ax for a suitable matrix A and vector x.

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