Write \textbf{x} as the sum of two vectors, one in Span \(\{\mathbf{u_1}, \mathbf{u_2}, \mathbf{u_3}\}\) and one in Span \(\{\mathbf{u_4}\}\). Assume that \(\{\mathbf{u_1}, ..., \mathbf{u_4}\}\) is an orthogonal basis for \(\mathbb{R}^4\). \begin{bmatrix} -1 \\ 1 \\ -3 \\ 0 \end{bmatrix} \quad \begin{bmatrix} -3 \\ 1 \\ 1 \\ 4 \end{bmatrix} \quad \begin{bmatrix} 1 \\ 4 \\ 0 \\ -2 \end{bmatrix} \quad \begin{bmatrix} 0 \\ 2 \\ 1 \\ 11 \end{bmatrix} \begin{bmatrix} -2 \\ 4 \\ -6 \\ 11 \end{bmatrix} = \textbf{x} = \begin{bmatrix} \\ \\ \\ \end{bmatrix} (Type an integer or simplified fraction for each matrix element.)
Added by Carlos H.
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I will try to interpret it as best as I can. I believe you are asking for the sum of an arithmetic series with the first term as 1, the common difference as 1, and the number of terms as "n". The formula for the sum of an arithmetic series is: $S_n = Show moreโฆ
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