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Semi-supervised learning has gained prominence for its ability to utilize limited labeled data alongside abundant unlabeled data. However, prevailing algorithms often neglect the relationships among data points within a batch, focusing instead on augmentations from identical sources. This paper presents RelationMatch, an innovative semi-supervised learning framework that capitalizes on these relationships through a novel Matrix Cross-Entropy (MCE) loss function. We rigorously derive MCE from both matrix analysis and information geometry perspectives. Our extensive empirical evaluations, including a 15.21% accuracy improvement over FlexMatch on the STL-10 dataset, demonstrate that RelationMatch consistently outperforms existing state-of-the-art methods.