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This paper is concerned with the work of the authors’ [M.Akbulakand D. Bozkurt, on the norms of Toeplitz matrices involving Fibonacciand Lucas numbers, Hacettepe Journal of Mathematics and Statistics,37(2), (2008), 89-95] on the spectral norms of the matrices: A = [Fi−j ] and B = [Li−j ], where F and L denote the Fibonacci and Lucas numbers, respectively. Akbulak and Bozkurt have found the inequalities forthe spectral norms of n × n matrices A and B, as for us, we are findingthe equalities for the spectral norms of matrices A and B.