Which of the following regulations defines the associative binary operation ° on the set R^n×n (n>=2)? Here, A, B ∈ R^n×n are arbitrary matrices. (a) A ° B = AB + BA (b) A ° B = AB - BA (c) A ° B = A + AB + B (d) A ° B = A^t (e) None of the above.
Which of the following regulations defines the associative binary operation ° on the set R^n×n (n>=2)? Here, A, B ∈ R^n×n are arbitrary matrices. (a) A ° B = AB + BA (b) A ° B = AB - BA (c) A ° B = A + AB + B (d) A ° B = A^t (e) None of the above.
Linear Algebra: A Modern Introduction
4th Edition
ISBN:9781285463247
Author:David Poole
Publisher:David Poole
Chapter3: Matrices
Section3.5: Subspaces, Basis, Dimension, And Rank
Problem 63EQ
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Which of the following regulations defines the associative binary operation ° on the set R^n×n (n>=2)? Here, A, B ∈ R^n×n are arbitrary matrices.
(a) A ° B = AB + BA
(b) A ° B = AB - BA
(c) A ° B = A + AB + B
(d) A ° B = A^t
(e) None of the above.
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