[Solution] Let u=[c4 , -1 , 4] and A=[ccc2 5 -1 , 0 1 -1 , 1 2 0]. Is u in the subset of R^3 spanned by the columns in A ? Why or why not? Justify your
Question: Let \(u=\left[\begin{array}{c}4 \\ -1 \\ 4\end{array}\right]\) and \(A=\left[\begin{array}{ccc}2 & 5 & -1 \\ 0 & 1 & -1 \\ 1 & 2 & 0\end{array}\right]\). Is \(u\) in the subset of \(\mathbb{R}^{3}\) spanned by the columns in \(A\) ? Why or why not? Justify your answer with theory from linear algebra.
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![[Steps Shown] Write the following system first](/images/solutions/MC-solution-library-73677.jpg "[Steps Shown] Write the following system first as a vector equation")
[Steps Shown] Write the following system first as a vector equation
![[Solution Library] Describe the solutions of the](/images/solutions/MC-solution-library-73678.jpg "[Solution Library] Describe the solutions of the following system")
[Solution Library] Describe the solutions of the following system
(Solution Library) Determine if the vectors form a linearly independent set.
![[Step-by-Step] With T defined by T(x)=A x,](/images/solutions/MC-solution-library-73680.jpg "[Step-by-Step] With T defined by T(x)=A x, find a vector x whose image")
[Step-by-Step] With T defined by T(x)=A x, find a vector x whose image
Solution: Assume that T is a linear transformation. Find the
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