Let P be a square matrix such that P² = I - P. For α, β, γ, δ ∈ ℕ… | JEE Main 2023 Mathematics PYQ

MCQMediumJEE Main 2023 · 6 April, Shift 2Algebra of Matrices

Let $P$ be a square matrix such that $P^2 = I - P$ . For $\alpha, \beta, \gamma, \delta \in \mathbb{N}$ , if

P^{\alpha} + P^{\beta} = \gamma I - 29P \quad\text{and}\quad P^{\alpha} - P^{\beta} = \delta I - 13P

then $\alpha + \beta + \gamma - \delta$ is equal to:

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