A square matrix is upper triangular if each i, j entry is zero in the part above

Question:

A square matrix is upper triangular if each i, j entry is zero in the part above the diagonal, that is, when i > j.
(a) Must the adjoint of an upper triangular matrix be upper triangular? Lower triangular?
(b) Prove that the inverse of a upper triangular matrix is upper triangular, if an inverse exists.
Fantastic news! We've Found the answer you've been seeking!

Step by Step Answer:

Related Book For  book-img-for-question

Linear Algebra

ISBN: 9780982406212

1st Edition

Authors: Jim Hefferon

Question Posted: