Question: Hyperplanes as Subspaces: The subset W of R4 defined by W = {(x, y, z, w) | ax + by + cz + dw =

Hyperplanes as Subspaces: The subset W of R4 defined by
W = {(x, y, z, w) | ax + by + cz + dw = 0},
Where a, b, c and d are real numbers not all zero, is a hyperplane through the origin. Show that W is a subspace of R4?

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