The author realizes various algebras of functions on the \(2\times 2\) matrix groups for the deformation parameter \(q=-1\) in terms of \(C^*\)-algebras of functions, subalgebras of all continuous and vanishing at infinity maps of the corresponding classical group to a \(C^*\)-algebra. In particular, the algebra \(\mathcal H\) of polynomials on \(M_{-1}(2,\mathbb{C})\) is represented by a subalgebra of the algebra \(\mathrm{Pol}(M,M)\) of all polynomial maps of \(M = M(2,\mathbb{C})\) into itself, and the polynomial algebra \(\mathcal K\) of the anti-commutative plane (realized by a subalgebra of \(\mathrm{Pol}(C^2,M))\) is a subalgebra of \(\mathcal H\).