Q2Single correct1 Mark13 Apr 2025Find the set of all real values of α\alphaα for which the columns of the matrix M=[103α2α20−αα]M = \begin{bmatrix} 1 & 0 & 3 \\ \alpha & 2 & \alpha^2 \\ 0 & -\alpha & \alpha \end{bmatrix}M=1α002−α3α2α are linearly dependent.A{0}B{α∈R∣α2−3α+2=0}\{\alpha \in \mathbb{R} \mid \alpha^2 - 3\alpha + 2 = 0\}{α∈R∣α2−3α+2=0}C{0, 1, 2}D{α∈R∣α2+3α−2=0}\{\alpha \in \mathbb{R} \mid \alpha^2 + 3\alpha - 2 = 0\}{α∈R∣α2+3α−2=0}
