• Given the property below, show your proof by giving counter example. 1:) Given a square matrix A of order n. If A is a lower triangular or upper triangular matrix, then the det (A) is equal to the product of the elements on the main diagonalsie, det (A) @ 922 933 0 of ann. [the main diagona elements. the matrix consists of all a square along the line from the upper left to right corner of the matrix. lower

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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Matrices

Given the property below, show your proof
by giving counter example.
1) Given
a
square matrix A of order n. If
A is a lower triangular or upper triangular
matrix
of the elements
, then the det (A) is
equal to the product
main diagonalsie,
on
the
det (A)
• 922
933
на
ann. [ the main diagona
of
a square
matrix consists of all elements.
the
along the line from the upper left to
lower right corner of
the
matrix.
Transcribed Image Text:Given the property below, show your proof by giving counter example. 1) Given a square matrix A of order n. If A is a lower triangular or upper triangular matrix of the elements , then the det (A) is equal to the product main diagonalsie, on the det (A) • 922 933 на ann. [ the main diagona of a square matrix consists of all elements. the along the line from the upper left to lower right corner of the matrix.
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