Given a square matrix A of order n. If A is a lower triangular or upper triangular matrix, then det(A) is equal to the product of the elements on the main diagonal, i.e., det (A) = a1.a22.a33 --. ann- [The main diagonal of a square matrix consists of all elements along the line from the upper left to the lower right corner of the matrix.] %3D

Linear Algebra: A Modern Introduction
4th Edition
ISBN:9781285463247
Author:David Poole
Publisher:David Poole
Chapter3: Matrices
Section3.7: Applications
Problem 41EQ
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Given a square matrix A of order n. If A is a lower triangular or upper triangular matrix, then
det(A) is equal to the product of the elements on the main diagonal, i.e.,
det (A) = a11. a2-a33 .. ann- [The main diagonal of a square matrix consists of all elements
along the line from the upper left to the lower right corner of the matrix.]
the
Transcribed Image Text:Given a square matrix A of order n. If A is a lower triangular or upper triangular matrix, then det(A) is equal to the product of the elements on the main diagonal, i.e., det (A) = a11. a2-a33 .. ann- [The main diagonal of a square matrix consists of all elements along the line from the upper left to the lower right corner of the matrix.] the
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