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
icon
Related questions
Question
Question: Which of the following statement is false?
If A and B are 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 Bis 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)
Transcribed Image Text:Question: Which of the following statement is false? If A and B are 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 Bis 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)
Expert Solution
trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 3 steps with 1 images

Blurred answer
Knowledge Booster
Matrix Operations
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, algebra and related others by exploring similar questions and additional content below.
Recommended textbooks for you
College Algebra
College Algebra
Algebra
ISBN:
9781305115545
Author:
James Stewart, Lothar Redlin, Saleem Watson
Publisher:
Cengage Learning
Elementary Linear Algebra (MindTap Course List)
Elementary Linear Algebra (MindTap Course List)
Algebra
ISBN:
9781305658004
Author:
Ron Larson
Publisher:
Cengage Learning
Algebra and Trigonometry (MindTap Course List)
Algebra and Trigonometry (MindTap Course List)
Algebra
ISBN:
9781305071742
Author:
James Stewart, Lothar Redlin, Saleem Watson
Publisher:
Cengage Learning
College Algebra (MindTap Course List)
College Algebra (MindTap Course List)
Algebra
ISBN:
9781305652231
Author:
R. David Gustafson, Jeff Hughes
Publisher:
Cengage Learning