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In this paper, we study the ring of invariants under the action ofSL(m,K)\times SL(n,K) and SL(m,K)\times SL(n,K)\times SL(2,K) on the3-dimensional array of indeterminates of form m\times n\times 2, where K is aninfinite field. And we show that if m=n\geq 2, then the ring of SL(n,K)\timesSL(n,K)-invariants is generated by n+1 algebraically independent elements overK and the action of SL(2,K) on that ring is identical with the one defined inthe classical invariant theory of binary forms. We also reveal the ring ofSL(m,K)\times SL(n,K)-invariants and SL(m,K)\times SL(n,K)\timesSL(2,K)-invariants completely in the case where m\neq n.

Action of special linear groups to the tensor of indeterminates, classical invariants of binary forms and hyperdeterminant