(Steps Shown) Find a vector in C^3 orthogonal to (1, 1, 1) and (1,ω ,omega ^2) where ω =e^2pi
Question: Find a vector in \({{\mathbb{C}}^{3}}\) orthogonal to (1, 1, 1) and \(\left( 1,\omega ,{{\omega }^{2}} \right)\) where \(\omega ={{e}^{2\pi i/3}}\)
Deliverable: Word Document 
![[Step-by-Step] The Gram-Schmidt process. Let x_1,x_2,... be](/images/solutions/MC-solution-library-34256.jpg "[Step-by-Step] The Gram-Schmidt process. Let x_1,x_2,... be a")
[Step-by-Step] The Gram-Schmidt process. Let x_1,x_2,... be a
![[See Steps] The first three Legendre polynomials](/images/solutions/MC-solution-library-34257.jpg "[See Steps] The first three Legendre polynomials are P_0(x)=1,")
[See Steps] The first three Legendre polynomials are P_0(x)=1,
Solution: Find the Fourier series of the following functions
(Step-by-Step) Let (e_n≤ft.) |_1^∞ be a complete orthonormal
(See Solution) Let E be a Banach space and let A,B ∈ L(E) .
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