Find a basis for -the space S of vectors (a, b, c, d) with a + c + d = 0 and also for

Chapter 3, Problem 36

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Find a basis for -the space S of vectors (a, b, c, d) with a + c + d = 0 and also for the space T with a + b = 0 and c = 2d. What is the dimension of the intersection SnT?

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