The vectors?1=??=form a basis for R4."?z=?s=Find the unique representation of any vectorcombination of u?, U2,...

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Calculus

The vectors?1=??=form a basis for R4."?z=?s=Find the unique representation of any vectorcombination of u?, U2, U3, and 4.O x = x??? + (x?1 + x2)2 + (X1 + X2 + X3)3 + (X1 + X2 + X3 + X4)?4? x = x??? + (x1 ? x?)?2 + (x? ? X3)3 + (x3 ? x4)??-=(x1, x2, x3, x4) E R4 as a linear? X = X??1 + (X1 + X2)?2 + (x2 + X3)?3 + (x3 + x4) ?4Ox?u1 + (x? - ?)? + (x3 - x?)3 + (x? - x3) 4=O x = x?u? + x2?2 + x3?3 + x4

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The vectors?1=??=form a basis for R4."?z=?s=Find the unique representation of any vectorcombination of u?, U2, U3, and 4.O x = x??? + (x?1 + x2)2 + (X1 + X2 + X3)3 + (X1 + X2 + X3 + X4)?4? x = x??? + (x1 ? x?)?2 + (x? ? X3)3 + (x3 ? x4)??-=(x1, x2, x3, x4) E R4 as a linear? X = X??1 + (X1 + X2)?2 + (x2 + X3)?3 + (x3 + x4) ?4Ox?u1 + (x? - ?)? + (x3 - x?)3 + (x? - x3) 4=O x = x?u? + x2?2 + x3?3 + x4

The vectors?1=??=form a basis for R4."?z=?s=Find the unique representation of any vectorcombination of u?, U2,...

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Calculus

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