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Write \( \mathrm{x} \) as the sum of two vectors, one \( \operatorname{in} \operatorname{Span}\left\{\mathbf{u} \_(1), \mathbf{u} \_(2), \mathrm{u} \_(3)\right\} \) and one in Span \( \left\{\mathbf{u} \_(4)\right\} \). Assume tha... Write \( x \) as the sum of two vectors, one in Span \( \left\{u_{-}(1), u_{-}(2), u_{-}(3)\right\} \) and one in Span \( \left\{u_{-}(4)\right\} \). Assume that \( \left\{u_{-}(1), d o t s, u_{-}(4)\right\} \) is an orthogonal basis for \( R_{\wedge}(4) \). \( u_{-}(1)=[[0],[1],[-3] \), \( [-1]], u_{-}(2)=[[2],[4],[1],[1]], u_{-}(3)=[[1],[0],[1],[-3]], u_{-}(4)=[[4],[-2],[-1],[1]], x=[[10],[-5],[2],[0]] \) Write \( x \) as the sum of two vectors, one in Span \( \{u \), ,u2,u3\} and one in Span \( \{ \). Assume that \( (u . .,, 44 \) ) is an orthogonal basis for R4 \( 041052 \cup 1 \) u \( 3 X=0 \)
Submitted by David B. . Jan. 08, 2024 - 07:43 p.m.