We give the matrix characterizations from Nakano vector-valued sequence space ℓ ( X , p ) and F r ( X , p ) into the sequence spaces E r , ℓ ∞ , ℓ ¯ ∞ ( q ) , b s , and c s , where p = ( p k ) and q = ( q k ) are bounded sequences of positive real numbers such that 1$"> P k > 1 for all k ∈ ℕ and r ≥ 0 .