matrix A : n degree matrix matrix B : exchange matrix A's 1st row and 2nd row, exchange matrix A's 3rd row and 4st rwo. now prove 'det(A)=det(B)'
matrix A : n degree matrix matrix B : exchange matrix A's 1st row and 2nd row, exchange matrix A's 3rd row and 4st rwo. now prove 'det(A)=det(B)'
Elementary Linear Algebra (MindTap Course List)
8th Edition
ISBN:9781305658004
Author:Ron Larson
Publisher:Ron Larson
Chapter3: Determinants
Section3.3: Properties Of Determinants
Problem 63E: Let A be an nn matrix in which the entries of each row sum to zero. Find |A|.
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matrix A : n degree matrix
matrix B : exchange matrix A's 1st row and 2nd row,
exchange matrix A's 3rd row and 4st rwo.
now prove 'det(A)=det(B)'
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