Which of the following statements is FALSE

BIBO stability: To test the stability of the system if we apply bounded input and output is also bounded then it is a stable system. (option 1 is correct statement)

causal system: output of a system depend only on past or present input sample than it is a causal system.  (option 2 is correct statement)

linear system: A system that obeys the superposition theorem is called a linear system. 

now take an example of a linear system as

\(y(n)=ax(n)\)

for zero input-output is zero

now take an example of a non-linear system as

\(y(n)=ax^2(n)\)

for zero input-output is zero

 for zero input if the output is zero then it can be a linear or non-linear system. (option 4 is the wrong statement)

Additional InformationImpulse response → if we apply impulse as input then the response is known as an impulse response 

the impulse response is finite duration than it is known as finite impulse response (FIR).

The impulse response is infinite duration than it is known as infinite impulse response (IIR).