A new beamforming technique is presented for effectively nulling out multiple incoherent interferences incident on an equispaced linear array. The basic idea of the proposed beamformer is based on the matrix property mapping which is basically concerned with the task of recovering a signal from a noise and interference contaminated measurement made on that signal. Computer simulations are shown to illustrate the superior performance achieved with the proposed beamformer relative to that of the conventional LCMV beamformer.