Verified Certificate

Supported by the following organizations

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

Noted by

Steven W. Leslie

Steven W. Leslie

Executive Vice Chancellor for Academic Affairs The University of Texas System

Maurie McInnis

Maurie McInnis

Executive Vice President and Provost The University of Texas at Austin

Dr. Robert van de Geijn

Dr. Robert van de Geijn

Professor of Computer Science The University of Texas at Austin

Dr. Maggie Myers

Dr. Maggie Myers

Lecturer The University of Texas at Austin

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About edX Verified Certificates

An edX Verified Certificate signifies that the learner has agreed to abide by the edX honor code and completed all of the required tasks of this course under its guidelines, as well as having their photo ID checked to verify their identity.