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The vectors u1 = u2 = 3 = u4 form a basis for R4. Find the unique representation of any vector = combination

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The vectors u1 = u2 = " 3 = u4 form a basis for R4. Find the unique representation of any vector = combination of 1, 2, 3, and 4. (x1, x2, x3, x4) = R4 as a linear O x = x + (x1 + x2)2 + (x1 + x2 + x3)3 + (x1+x2 + x3 + x4)4 - - x = x + (x1 x2)2 + (x2 x3)3 + (x3 x4)4 x = x + (x1 + x2)2 + (x2+x3)3 + (x3 + x4)4 = Ox+(x2-x1)2 + (x3x2)3 + (x4 - x3)4 Ox = x11 + x2u2 + x3u3 + x44

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