How many rows of A contain a pivot position? Does the equation Ax =b have a...

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How many rows of A contain a pivot position? Does the equation Ax =b have a solution for each b in R*? 2 4 - 1 4 - 1 - 1 - 1 A = - 6 15 12 - 3 How many rows of A contain a pivot position? A has rows which contain a pivot position. Does the equation Ax = b have a solution for each b in R"? A. No, because each b in R* is a linear combination of the columns of A. B. No, because A does not have a pivot position in every row. C. Yes, because the columns of A do not span R*. D. Yes, because the reduced echelon form of A does not have a row of the form 0 .. 0 b with b nonzero. How many rows of A contain a pivot position? Does the equation Ax =b have a solution for each b in R*? 2 4 - 1 4 - 1 - 1 - 1 A = - 6 15 12 - 3 How many rows of A contain a pivot position? A has rows which contain a pivot position. Does the equation Ax = b have a solution for each b in R"? A. No, because each b in R* is a linear combination of the columns of A. B. No, because A does not have a pivot position in every row. C. Yes, because the columns of A do not span R*. D. Yes, because the reduced echelon form of A does not have a row of the form 0 .. 0 b with b nonzero.

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A has 3 rows which contain a ... View the full answer