a. Consider an n x m matrix/ with rank (A) < n.Show that there exists a vector b in M"

Chapter 2, Problem 51

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a. Consider an n x m matrix/ with rank (A) < n.Show that there exists a vector b in M" such that the system = ^ is inconsistent. [Hint: For E = rref (A), show Wthwe exists a vector c in R" such that the system *= c is inconsistent; then, work backward.]^ A^!idermnxm mairix A with n > m. Show that ousts a vector b in R" such that the system A* = jo:------. J

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