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Solve the following problem using Python, implementing the functions described below, one line at a time
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Description:
 def run_matrix_ordered(self, process_data):
 """ Running pipelines one after the other. Returns dict: with two fields: success True/False and captured output (list of str). """

        output = []
        for entry in self.matrix:
            env = entry['env'].copy()
            env.update({'PIPELINE_MATRIX': entry['name']})

            if Matrix.can_process_matrix(entry, process_data.options.matrix_tags):
                self.logger.info("Processing pipeline for matrix entry '%s'", entry['name'])
                pipeline = Pipeline(model=process_data.model, env=env,
                                    options=process_data.options)
                pipeline.hooks = process_data.hooks
                result = pipeline.process(process_data.pipeline)
                output += result['output']
                if not result['success']:
                    return {'success': False, 'output': output}
        return {'success': True, 'output': output}