Question: Which of the following statement is false? If A and Bare matrices and AB and BA are both defined, then we can conclude that A = B. The expression AX = B is the matrix form corresponding to a system of linear equations if matrix A is the coefficient matrix, the vector X is the column vector of variables and B is the column vector constructed from the constants. When the number of columns in matrix A equals the number of rows in matrix B, then we can obtain the product of AB. Associative law of addition states that for each matrix A, B and C: (A+ B) +C = A+ (B +C)
Question: Which of the following statement is false? If A and Bare matrices and AB and BA are both defined, then we can conclude that A = B. The expression AX = B is the matrix form corresponding to a system of linear equations if matrix A is the coefficient matrix, the vector X is the column vector of variables and B is the column vector constructed from the constants. When the number of columns in matrix A equals the number of rows in matrix B, then we can obtain the product of AB. Associative law of addition states that for each matrix A, B and C: (A+ B) +C = A+ (B +C)
College Algebra
7th Edition
ISBN:9781305115545
Author:James Stewart, Lothar Redlin, Saleem Watson
Publisher:James Stewart, Lothar Redlin, Saleem Watson
Chapter6: Matrices And Determinants
Section6.2: The Algebra Of Matrices
Problem 54E
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