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Which of the following system is linear?

a) $y(n)$ =  $e^{x(n)}$

b) $y(n) $= A$x(n$)+B

c) $y(n) $= $x$($n ^2$)

d) $y(n) $= $x ^2(n)$
in Linear Algebra edited by
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1 Answer

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A linear equation is an equation in which the degree of all the variables involved is 1.

Suppose I want an equation in two variables, say x and y, to be linear, I must have an equation in which the powers of x and y are 1. So, the general form would be ax+by=c where a,b and c are constants. You can extend this concept to many variables as well.

Similarly, quadratic equations are equations which involve degree 2 variables, cubic equations are equations which involve degree 3 variables and so on.

Option (b) is the right answer.

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Please admin, if you downvote my answer, let me know the correct ans or explanation else I'll be in dark.
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