Answered: A square matrix is half-magic if the…

A square matrix is half-magic if the sum of the numbers in each row and column is the same. Find a basis B for the vector space of 2 x 2 half-magic squares. 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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Question

A square matrix is half-magic if the sum of the numbers in each row and column is the
same. Find a basis B for the vector space of 2 x 2 half-magic squares.
B= {
}.

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