A matrix whose elements may contain complex numbers. The matrix product of two 2×2 complex matrices is given by [x_11 + y_11 i | x_12 + y_12 i x_21 + y_21 i | x_22 + y_22 i][u_11 + v_11 i | u_12 + v_12 i u_21 + v_21 i | u_22 + v_22 i] = [R_11 | R_12 R_21 | R_22] + i[I_11 | I_12 I_21 | I_22], where R_11 | = | u_11 x_11 + u_21 x_12 - v_11 y_11 - v_21 y_12 R_12 | = | u_12 x_11 + u_22 x_12 - v_12 y_11 - v_22 y_12 R_21 | = | u_11 x_21 + u_21 x_22 - v_11 y_21 - v_21 y_22 R_22 | = | u_12 x_21 + u_22 x_22 - v_12 y_21 - v_22 y_22 I_11 | = | v_11 x_11 + v_21 x_12 + u_11 y_11 + u_21 y_12 I_12 | = | v_12 x_11 + v_22 x_12 + u_12 y_11 + u_22 y_12 I_21 | = | v_11 x_21 + v_21 x_22 + u_11 y_21 + u_21 y_22 I_22 | = | v_12 x_21 + v_22 x_22 + u_12 y_21 + u_22 y_22.

complex vector | Hadamard's maximum determinant problem | integer matrix | k-matrix | matrix | real matrix