The quantum matrix algebra R(21)x(1)x(2)=x(2)x(1)R is studied and prop
osed for the standard 2X2 case as the coordinates of q-deformed Euclid
ean space. The algebra in this simplest case is isomorphic to the usua
l quantum matrices M(q)(2) but in a form which is naturally covariant
under the Euclidean rotations SUq(2)circle times SUq(2). A quantum Wic
k rotation is introduced that twists this system precisely into the ap
proach to q-Minkowski space based on braided matrices and their associ
ated spinorial q-Lorentz group.