[Solved] Determine if b is a linear combination of the vectors formed from the columns of the matrix A. Justify your answer with theory from linear algebra.
Question: Determine if \(b\) is a linear combination of the vectors formed from the columns of the matrix \(A\). Justify your answer with theory from linear algebra.
\[A=\left[\begin{array}{ccc} 1 & -4 & 2 \\ 0 & 3 & 5 \\ -2 & 8 & 4 \end{array}\right], \boldsymbol{b}=\left[\begin{array}{c} 3 \\ -7 \\ -3 \end{array}\right]\]
Deliverable: Word Document 
(See Solution) Let u=[c4 , -1 , 4] and A=[ccc2 5 -1 , 0 1 -1 , 1
![[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
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