Consider the following subspaces U, V, W CR³: U = {(x, y, z): x+y=3z=0} V = {(0, c, 0): e ER} W = {(x, y, z): x + 2y = 0). (a) Show that R³ = U@V. (b) Show that R³U+W, but R³ is not the direct sum of U and W.

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