Write x as the sum of two vectors one in span u1 u2 u3 and

Question

Write x as the sum of two vectors, one in Span {u₁, u₂, u₃}, and one in Span {u₁,...,u₄} is an orthogonal basis for R⁴.

 U₁= [0], u₂=[5], u₃=[1], u₄=[7] ,x= [14]

       [1]         [7]        [0]       [-5]      [-9]

       [-6]       [1]        [1]       [-1]     [4]

      [-1]        [1]        [-6]     [1]       [0]

X= (integer or simplified fraction for each matrix element.)

Linear Algebra