1.7_1.8 - MATH1850U/2050U: Chapter 1 cont... 1 LINEAR...

Info iconThis preview shows pages 1–3. Sign up to view the full content.

View Full Document Right Arrow Icon

Info iconThis preview has intentionally blurred sections. Sign up to view the full version.

View Full DocumentRight Arrow Icon
This is the end of the preview. Sign up to access the rest of the document.

Unformatted text preview: MATH1850U/2050U: Chapter 1 cont... 1 LINEAR SYSTEMS cont… Diagonal, Triangular, and Symmetric Matrices (1.7; pg. 66) Recall: We’ve spent a lot of time talking about how to work with matrices. Now let’s introduce a few special matrices. Definition: A square matrix in which all the entries off the main diagonal are zero is called a diagonal matrix . Examples: Note: Inverses and Powers of a Diagonal Matrix are intuitive, but for a detailed explanation, refer to the text. Examples: Given the matrix below, find A 3 and A-1 . Definition: A square matrix in which all the entries above the main diagonal are zero is called a lower triangular matrix. A square matrix in which all the entries below the main diagonal are zero is called upper triangular . A matrix that is either upper triangular or lower triangular is called triangular . Examples: MATH1850U/2050U: Chapter 1 cont... 2 Theorem (Triangular Matrices): a) The transpose of a lower triangular matrix is upper triangular, and the transpose of...
View Full Document

This note was uploaded on 10/12/2011 for the course MATH 1020 taught by Professor Paulatu during the Spring '11 term at UOIT.

Page1 / 5

1.7_1.8 - MATH1850U/2050U: Chapter 1 cont... 1 LINEAR...

This preview shows document pages 1 - 3. Sign up to view the full document.

View Full Document Right Arrow Icon
Ask a homework question - tutors are online