JEE Main 20236 Apr, Evening shiftMathematicsMediumMatrices and Determinants245× since 2002Let PPP be a square matrix such that P2=I−PP^{2}=I-PP2=I−P. For α,β,γ,δ∈N\alpha, \beta, \gamma, \delta \in \mathbb{N}α,β,γ,δ∈N, if Pα+Pβ=γI−29PP^{\alpha}+P^{\beta}=\gamma I-29 PPα+Pβ=γI−29P and Pα−Pβ=δI−13PP^{\alpha}-P^{\beta}=\delta I-13 PPα−Pβ=δI−13P, then α+β+γ−δ\alpha+\beta+\gamma-\deltaα+β+γ−δ is equal to :AOption A. 18BOption B. 22COption C. 24DOption D. 40CheckSkip · show solution
