Solved: Choose x = (XI,X2,X3,X4) in R4. It has 24 rearrangements like (X2,XI,X3,X4) and

Chapter 3, Problem 42

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Choose x = (XI,X2,X3,X4) in R4. It has 24 rearrangements like (X2,XI,X3,X4) and (X4, X3, Xl, X2). Those 24 vectors, including x itself, span a subspace S. Find specific vectors x so that the dimension of S is: (a) zero, (b) one, (c) three, (d) four.

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