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Determine if b is a linear combination of the vectors
Chapter 1, Problem 14E(choose chapter or problem)
Determine if b is a linear combination of the vectors formed from the columns of the matrix A.
\(A=\left[\begin{array}{rrr}1 & -2 & -6 \\ 0 & 3 & 7 \\ 1 & -2 & 5\end{array}\right], \mathbf{b}=\left[\begin{array}{r}11 \\ -5 \\ 9\end{array}\right]\)
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QUESTION:
Determine if b is a linear combination of the vectors formed from the columns of the matrix A.
\(A=\left[\begin{array}{rrr}1 & -2 & -6 \\ 0 & 3 & 7 \\ 1 & -2 & 5\end{array}\right], \mathbf{b}=\left[\begin{array}{r}11 \\ -5 \\ 9\end{array}\right]\)
ANSWER:Step 1 of 5
Determine if \(b\) is a linear combination of the vectors formed from the columns of the matrix A.
Given that a matrix A.
\(A=\left[\begin{array}{ccc} 1 & -2 & -6 \\ 0 & 3 & 7 \\ 1 & -2 & 5 \end{array}\right] \quad b=\left[\begin{array}{c} 11 \\ -5 \\ 9 \end{array}\right]\)
\(A: b=\left[\begin{array}{cccc} 1 & -2 & -6 & 11 \\ 0 & 3 & 7 & -5 \\ 1 & -2 & 5 & 9 \end{array}\right]\)
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Review this written solution for 35963) viewed: 183 isbn: 9780321982384 | Linear Algebra And Its Applications - 5 Edition - Chapter 1.3 - Problem 14e
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