JEE Main 20246 Apr, Morning shiftMathematicsMediumMatrices and Determinants245× since 2002Let αβγ=45;α,β,γ∈R\alpha \beta \gamma=45 ; \alpha, \beta, \gamma \in \mathbb{R}αβγ=45;α,β,γ∈R. If x(α,1,2)+y(1,β,2)+z(2,3,γ)=(0,0,0)x(\alpha, 1,2)+y(1, \beta, 2)+z(2,3, \gamma)=(0,0,0)x(α,1,2)+y(1,β,2)+z(2,3,γ)=(0,0,0) for some x,y,z∈R,xyz≠0x, y, z \in \mathbb{R}, x y z \neq 0x,y,z∈R,xyz=0, then 6α+4β+γ6 \alpha+4 \beta+\gamma6α+4β+γ is equal to _________.Your answerType your answer. Integers and decimals are accepted.CheckSkip · show solution
