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Use a matrix method to find the relationship between the constants a and b for which...

Use a matrix method to find the relationship between the constants a and b for which the system of equations u + 2v + 3w = a, u − v + w = 1, 2u + v + 4w = b has solutions. When a and b satisfy this relationship, find all of the solutions to this system in terms of a and write your answer in vector form?

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