Question
Mathematics Question on Transpose of a Matrix
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
A
40
B
24
C
22
D
18
Answer
24
Explanation
Solution
The correct option is(B): 24