Consider the following statement: There do not exist 2 × 2 matrices E, F with rank(E)=rank(F)= 2 such that E · F = 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. 0 (88). 0

College Algebra (MindTap Course List)
12th Edition
ISBN:9781305652231
Author:R. David Gustafson, Jeff Hughes
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Chapter6: Linear Systems
Section6.3: Matrix Algebra
Problem 79E
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How to use linear independence to prove this

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.
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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