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Find the scalars λ1 and λ2 that are attached to \(v=\begin{bmatrix} 1\\ 2 \\ \end{bmatrix} \)and \(w=\begin{bmatrix} 3\\ 1 \\ \end{bmatrix} \) to yield\(\begin{bmatrix} 1\\ 0 \\ \end{bmatrix} \)
Find the scalars λ1 and λ2 that are attached to \(v=\begin{bmatrix} 1\\ 2 \\ \end{bmatrix} \)and \(w=\begin{bmatrix} 3\\ 1 \\ \end{bmatrix} \) to yield\(\begin{bmatrix} 1\\ 0 \\ \end{bmatrix} \)
Updated On: Mar 12, 2024
- \(λ_1=\frac{2}{5}, λ_2=-\frac{2}{5}\)
- \(λ_1=-\frac{1}{5}, λ_2=\frac{2}{5}\)
- \(λ_1=5, λ_2=\frac{1}{5}\)
- \(λ_1=-\frac{1}{5}, λ_2=-\frac{2}{5}\)
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The Correct Option is B
Solution and Explanation
The correct option is(B): \(λ_1=-\frac{1}{5}, λ_2=\frac{2}{5}\)
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