Let W be the subspace spanned by Bold u 1 and Bold u 2 . Write y as the sum of a vector in W and a vector orthogonal to W. yequals [Start 3 By 1 Matrix 1st Row 1st Column negative 3 2nd Row 1st Column 6 3rd Row 1st Column 4 EndMatrix ], Bold u 1 equals[Start 3 By 1 Matrix 1st Row 1st Column 1 2nd Row 1st Column 1 3rd Row 1st Column 1 EndMatrix ], Bold u 2 equals[Start 3 By 1 Matrix 1st Row 1st Column negative 1 2nd Row 1st Column 6 3rd Row 1st Column negative 5 EndMatrix ]The sum is yequals ModifyingAbove Bold y with caretplusz, where ModifyingAbove Bold y with caret equals[Start 3 By 1 Matrix 1st Row 1st Column nothing 2nd Row 1st Column nothing 3rd Row 1st Column nothing EndMatrix ]is in W and zequals [Start 3 By 1 Matrix 1st Row 1st Column nothing 2nd Row 1st Column nothing 3rd Row 1st Column nothing EndMatrix ]is orthogonal to W.