If A and B are matrices, then both AB and BA are defined if and only if A and B are square matrices.

College Algebra
7th Edition
ISBN:9781305115545
Author:James Stewart, Lothar Redlin, Saleem Watson
Publisher:James Stewart, Lothar Redlin, Saleem Watson
Chapter6: Matrices And Determinants
Section: Chapter Questions
Problem 7CC: If A and B are matrices with the same dimension and k is a real number, how do you find A+B and kA ?
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Determine whether the statement are TRUE or FALSE. Write TRUE if the Statement is True and False otherwise. 23-24

23. If A and B are matrices, then both AB and BA are defined
if and only if A and B are square matrices.
24. If A is an m x n matrix and B is an n x p matrix, then
(АВ) — АТ ВТ.
Transcribed Image Text:23. If A and B are matrices, then both AB and BA are defined if and only if A and B are square matrices. 24. If A is an m x n matrix and B is an n x p matrix, then (АВ) — АТ ВТ.
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