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1. If a system of linear equations is represented by AX = B and A is not invertible, then the system has no

1. If a system of linear equations is represented by AX = B and A is not invertible, then the system has no

Algebra and Trigonometry (MindTap Course List)
Algebra and Trigonometry (MindTap Course List)
4th Edition
ISBN:9781305071742
Author:James Stewart, Lothar Redlin, Saleem Watson
Publisher:James Stewart, Lothar Redlin, Saleem Watson
Chapter10: Systems Of Equations And Inequalities
Section10.CR: Chapter Review
Problem 4CC: For a system of two linear equations in two variables, aHow many solutions are possible? bWhat is...
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In the following question there are statements which are TRUE and statements which are FALSE.

Choose all the statements which are FALSE.

 

1. If a system of linear equations is represented by AX = %3D B and A is not invertible, then the system has no solution. 2. A 2 x 3 matrix has three columns and two rows. 3. If A and B are both 3 x 3 matrices, then AB = BA. 4. A system of three equations and two unknowns cannot have a solution. 5. If the row- reduced form of a matrix is the identity matrix, then the matrix is invertible.
Transcribed Image Text:1. If a system of linear equations is represented by AX = %3D B and A is not invertible, then the system has no solution. 2. A 2 x 3 matrix has three columns and two rows. 3. If A and B are both 3 x 3 matrices, then AB = BA. 4. A system of three equations and two unknowns cannot have a solution. 5. If the row- reduced form of a matrix is the identity matrix, then the matrix is invertible.
6. Let A and B be n x n matrices such that АВ 3 0. Нeпce, it implies that BA = 0.
Transcribed Image Text:6. Let A and B be n x n matrices such that АВ 3 0. Нeпce, it implies that BA = 0.
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