## Can linear system have exactly two solutions?

## What are the linear systems?

- A linear system is a
**mathematical model of a system based on the use of a linear operator**. Linear systems typically exhibit features and properties that are much simpler than the general, nonlinear case.

## What are equivalent linear systems?

- Definition:
**Two systems of linear equation**are said to be equivalent:**if each equation in every system**is a**linear combination of the equations in the other system**. Prove that If two homogeneous systems of linear equation in two unknowns have the same solution, then they are equivalent.

## What is linear system in electronics?

- A
**linear**circuit is an electronic circuit in which, for a sinusoidal input voltage of frequency f, any steady-state output of the circuit (the current through any component, or the voltage between any two points) is also sinusoidal with frequency f. Note that the output need not be in phase with the input.

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