In index notation, the contravariant and covariant components transform according to, respectively: A ′ μ μ = Λ Λ μ μ ν ν A ν ν , A ′ μ μ = Λ Λ μ μ ν ν A ν ν in which the matrix Λ has components Λ ν in row μ and column ν, and the matrix (Λ) has components Λ μ in row μ and column ν.