If and are subspaces of such that and thenprove that every vector in has a unique

Chapter 4, Problem 4.654

(choose chapter or problem)

If and are subspaces of such that and thenprove that every vector in has a unique representation of the formwhere is in and is in is called the direct sum of and and iswritten as V U W.u Which of the sums in part (1) are direct sums?

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