In this paper, we use a general Mth order tensor discriminant analysis approach [11] for view based object recognition. This method is an extension of the 2D image coding technique [10] to general Mth order tensors for discriminant analysis, and has good convergence property. We demonstrate the performance advantages of this approach over existing techniques using experiments on the COIL-100 and the ETH-80 datasets. Specifically, our experimental results on ETH-80 show the particular strength of this tensor discriminant analysis method when only a small number of training samples with big intra-class variation are available.