0 There do not exist 2 × 2 matrices E, F with rank(E)=rank(F) = 2 such that EF = (88) 00 Select whether it is true or false, and give either a proof or counterexample as appropriate.
0 There do not exist 2 × 2 matrices E, F with rank(E)=rank(F) = 2 such that EF = (88) 00 Select whether it is true or false, and give either a proof or counterexample as appropriate.
College Algebra (MindTap Course List)
12th Edition
ISBN:9781305652231
Author:R. David Gustafson, Jeff Hughes
Publisher:R. David Gustafson, Jeff Hughes
Chapter6: Linear Systems
Section6.3: Matrix Algebra
Problem 79E
Related questions
Question
How to prove this, please make the proof simple, I am not good at this, thank you very much!!
![Consider the following statement:
0
There do not exist 2 × 2 matrices E, F with rank(E)=rank(F) = 2 such that E · F = (88)
Select whether it is true or false, and give either a proof or counterexample as appropriate.
This statement is true
Proof:
Correct answer, well done.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F7a08bde2-43e1-43a7-b5d8-6c41a5cd97be%2F903fe0ba-413c-4bd8-8212-bec4bcf62dc2%2F80f89l_processed.png&w=3840&q=75)
Transcribed Image Text:Consider the following statement:
0
There do not exist 2 × 2 matrices E, F with rank(E)=rank(F) = 2 such that E · F = (88)
Select whether it is true or false, and give either a proof or counterexample as appropriate.
This statement is true
Proof:
Correct answer, well done.
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