Can you look at these question please ? Which of the following is false?(1) If E is an m x m elementary matrix and A is an m xn matrix,then the column space of EA is the same as the column spaceof A.(2) If A and B are nxn matrices that have the same row space,then A and B have the same column space.(3 ) If E is an m x m elementary matrix and A is an m xn matrix,then the null space of EA is the same as the null space of A.(4) If E is an m x m elementary matrix and A is an m x n matrix,then the row space of EA is the same as the row space of A.(5) If E is an m x m elementary matrix and A is an m x n matrix,then the column space of EA is the same as the column spaceof A.O (1)O (2)O (3) Which of the followings are always true?I. A? = I implies that det(A) = 1II. If A and B are upper triangular matrices then AB=BA.III. If det(A) = 1 then adj(adj(A)) = AIV. Given any two matrices A and B, det(AB)=det(A).det(B)V. If A is nxn matrix then det(kA) = k" det(A)O ,VO II,IV,VO I,VO I,II,V

Name: Can you look at these question please ? Which of the following is fals
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Description: Can you look at these question please ? Which of the following is false?(1) If E is an m x m elementary matrix and A is an m xn matrix,then the column space of EA is the same as the column spaceof A.(2) If A and B are nxn matrices that have the same

(Note: We are entitled to solve the only question at a time) Given: Which of the following statement…

Math

Algebra

Which of the followings are always true? 1. A? = I implies that det(A) = 1 II. If A and B are upper triangular matrices then AB=BA. III. If det(A) =1 then adj(adj(A)) = A IV. Given any two matrices A and B, det(AB)=Ddet(A).det(B) V. If A is nxn matrix then det(kA) = k" det(A) O I.V O II,IV,V O I,V O I,II,V

Which of the followings are always true? 1. A? = I implies that det(A) = 1 II. If A and B are upper triangular matrices then AB=BA. III. If det(A) =1 then adj(adj(A)) = A IV. Given any two matrices A and B, det(AB)=Ddet(A).det(B) V. If A is nxn matrix then det(kA) = k" det(A) O I.V O II,IV,V O I,V O I,II,V

College Algebra (MindTap Course List)

12th Edition

ISBN:9781305652231

Author:R. David Gustafson, Jeff Hughes

Publisher:R. David Gustafson, Jeff Hughes

Chapter6: Linear Systems

Section6.5: Determinants

Problem 82E: Use an example chosen from 22 matrices to show that for nn matrices A and B,ABBA but AB=BA.

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