The present invention relates to a system and method for error correction and computation speed improvement through a matrix transformation in medical image reconstruction, which increase the accuracy of image reconstruction by using a pseudo-inverse method and improve a computation speed. According to the present invention, the system for error correction and computation speed improvement through a matrix transformation in medical image reconstruction comprises a first calculation unit (110), a second calculation unit (120), a conversion unit (130), a first processing unit (140), a second processing unit (150), and an image reconstruction unit (160).
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