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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 A1 . 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...
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This note was uploaded on 10/12/2011 for the course MATH 1020 taught by Professor Paulatu during the Spring '11 term at UOIT.
 Spring '11
 PaulaTu
 Linear Systems, Matrices

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