Choose all the statements which are FALSE. 1. If each equation in a consistent linear system is multiplied through by a constant c, then all solutions to the new system can be obtained by multiplying solutions from the original system by c. 2. Every matrix has a unique row echelon form. 3. If A is a 2 x 3 matrix and B is a 3 x 2 matrix, then the product AB is a 3 x 3 matrix. 4. If A is an n xn matrix and c is a scalar, then (cA)T = c(A)". %3D 5. If a system of linear equations is represented by AX = B and A is invertible, then the system has a unique solution.
Choose all the statements which are FALSE. 1. If each equation in a consistent linear system is multiplied through by a constant c, then all solutions to the new system can be obtained by multiplying solutions from the original system by c. 2. Every matrix has a unique row echelon form. 3. If A is a 2 x 3 matrix and B is a 3 x 2 matrix, then the product AB is a 3 x 3 matrix. 4. If A is an n xn matrix and c is a scalar, then (cA)T = c(A)". %3D 5. If a system of linear equations is represented by AX = B and A is invertible, then the system has a unique solution.
Algebra and Trigonometry (MindTap Course List)
4th Edition
ISBN:9781305071742
Author:James Stewart, Lothar Redlin, Saleem Watson
Publisher:James Stewart, Lothar Redlin, Saleem Watson
Chapter11: Matrices And Determinants
Section11.1: Matrices And Systems Of Linear Equations
Problem 3E
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Transcribed Image Text:Choose all the statements which are FALSE.
1. If each equation in a consistent linear system is multiplied
through by a constant c, then all solutions to the new system
can be obtained by multiplying solutions from the original
system by c.
2. Every matrix has a unique row echelon form.
3. If A is a 2 x 3 matrix and B is a 3 x 2 matrix, then the product
AB is a 3 x 3 matrix.
4. If A is an n x n matrix andc is a scalar, then (cA)T = c(A)".
%3D
5. If a system of linear equations is represented by AX = B and
A is invertible, then the system has a unique solution.
%3D
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