UTAustinX UT.5.05x Certificate

This is to certify that Vikramaditya Swarup Narayan successfully completed and received a passing grade in UT.5.05x: LAFF: Linear Algebra - Foundations to Frontiers a course of study offered by UTAustinX, an online learning initiative of University of Texas System.

Steven Mintz

Executive Director, Institute for Transformational Learning The University of Texas System

James W. Pennebaker

Executive Director of Project 2021 and Regents Centennial Professor of Psychology The University of Texas at Austin

Dr. Robert van de Geijn

Professor of Computer Science The University of Texas at Austin

Dr. Maggie Myers

Lecturer The University of Texas at Austin

Verified Certificate Issued May 18, 2017
Valid Certificate ID 79610764dd8f4e6c8eaceeaaae31e875

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