[2] True or False? If wrong, explain what is wrong or find an example to justify your conclusion. (a) Since 2-1-1, for any matrix A,4-1= 1 A (b) Only square matrices can have transpose. (c) There is no matrix A that can be its own inverse, i.e. A=A-¹.

Algebra for College Students
10th Edition
ISBN:9781285195780
Author:Jerome E. Kaufmann, Karen L. Schwitters
Publisher:Jerome E. Kaufmann, Karen L. Schwitters
Chapter12: Algebra Of Matrices
Section12.3: M X N Matrices
Problem 49PS
Question
Answer the question correctly with all parts solution Please give in detail explanation of any part correctly By hand solution needed
[2] True or False? If wrong, explain what is wrong or find an example to justify your conclusion.
1
(a) Since 2-¹-1, for any matrix A,4-¹= A
(b) Only square matrices can have transpose.
(c) There is no matrix A that can be its own inverse, i.e. A=A-¹.
Transcribed Image Text:[2] True or False? If wrong, explain what is wrong or find an example to justify your conclusion. 1 (a) Since 2-¹-1, for any matrix A,4-¹= A (b) Only square matrices can have transpose. (c) There is no matrix A that can be its own inverse, i.e. A=A-¹.
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