The vectors ū1 = ū₂ = form a basis for R4. " ūz = ūs = Find

Last updated: 8/13/2022

The vectors ū1 = ū₂ = form a basis for R4. " ūz = ūs = Find the unique representation of any vector combination of u₁, U2, U3, and 4. O x = x₁ū₁ + (x₁1 + x2)µ2 + (X1 + X2 + X3)¯3 + (X1 + X2 + X3 + X4)ū4 ○ x = x₁ū₁ + (x1 − x₂)ū2 + (x₂ − X3)¯3 + (x3 − x4)ūṣ - = (x1, x2, x3, x4) E R4 as a linear ○ X = X₁Ū1 + (X1 + X2)ū2 + (x2 + X3)Ū3 + (x3 + x4) ū4 Ox₁u1 + (x₂ - ₁)₂ + (x3 - x₂)3 + (x₁ - x3) 4 = O x = x₁u₁ + x2Ū2 + x3Ū3 + x4¯¹