Let {\P} be a square matrix such that {\P}^2= {\I}- {\P}. For \alpha, \beta, \gamma, \delta \in {\N}, if {\P}^\alpha+ {\P}^\beta=\gamma {\I}-29 {\P} and {\P}^\alpha- {\P}^\beta=\delta {\I}-13 {\P}, then \alpha+\beta+\gamma-\delta is equal to : [6-Apr-2023 shift 2]

Matrices and Determinants Part 3

Section: Mathematics

Question : 54 of 100

Marks: +1, -0

Let P be a square matrix such that P2=I−P. For α,β,γ,δ∈N, if Pα+Pβ=γI−29P and Pα−Pβ=δI−13P, then α+β+γ−δ is equal to :

[6-Apr-2023 shift 2]

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