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11. (3 points) Let k E R and consider the linear system in the unknowns x, y, z: kx+2y+z = 0 y+z = 0

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11. (3 points) Let k E R and consider the linear system in the unknowns x, y, z: kx+2y+z = 0 y+z = 0 3z=0 Find all values of k for which this system has (a) a unique solution, ANSWER: (1) (b) infinitely many solutions, ANSWER: (1) (c) no solutions. ANSWER: (1)

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