Question

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\(\begin{bmatrix}  1\\ 0 \\  \end{bmatrix} \)

• A. \(λ_1=\frac{2}{5}, λ_2=-\frac{2}{5}\)
• B. \(λ_1=-\frac{1}{5}, λ_2=\frac{2}{5}\)
• C. \(λ_1=5, λ_2=\frac{1}{5}\)
• D. \(λ_1=-\frac{1}{5}, λ_2=-\frac{2}{5}\)

Answer 1

The Correct Option is B

The correct option is(B): \(λ_1=-\frac{1}{5}, λ_2=\frac{2}{5}\)