A method of ultrasonically imaging an object includes providing a 2D array of bias-sensitive ultrasound transducer elements. Each ultrasound transducer element has first and second electrodes on first and second sides of the ultrasound transducer connected in plural first and second electrode strips. The plural first electrode strips are oriented at an angle to the plural second electrode strips. A biasing pattern is applied to a plurality of the second electrode strips and generating a series of transmit events in one or more first electrode strips. Return pulses are detected by measuring received signals from biased second electrode strips. For the series of transmit events, the second electrode strips are biased according to sequential biasing patterns of voltages that correspond to rows or columns of an invertible matrix. The measured received signals are processed to generate an image of the object.