4. If a matrix is diagonal, then it is symmetric. It is not true that either the matrix is symmetric or it is invertible. The matrix is either diagonal or upper triangular. Therefore the matrix is upper triangular.
4. If a matrix is diagonal, then it is symmetric. It is not true that either the matrix is symmetric or it is invertible. The matrix is either diagonal or upper triangular. Therefore the matrix is upper triangular.
Linear Algebra: A Modern Introduction
4th Edition
ISBN:9781285463247
Author:David Poole
Publisher:David Poole
Chapter2: Systems Of Linear Equations
Section2.2: Direct Methods For Solving Linear Systems
Problem 3CEXP
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