An example method of decoding video data includes determining, by a video decoder and based on syntax elements in an encoded video bitstream, a plurality of values for a current block of the video data; performing, by the video decoder, a multi-pass non-separable inverse transformation on the plurality of values to derive residual data that represents pixel differences between the current block of the video data and a predictive block of the video data; and reconstructing, by the video decoder, the current block of the video data based on the residual data and the predictive block of the video data. In some examples, performing a pass of the multi-pass non-separable inverse transformation includes performing a plurality of Givens orthogonal transformations.