Question

Explain linear combination properly with examples.

Answer 1

Linear combination is the process of adding two algebraic equations so that one of the variables is eliminated.

Addition or subtraction can be used to perform a linear combination. Addition is used when the two equations have terms that are exact opposites, and subtraction is used when the two equations have terms that are the same.

Answer 2

a linear combination is an expression constructed from a set of terms by multiplying each term by a constant and adding the results (e.g. a linear combination of x and y would be any expression of the form ax + by, where a and b are constants). The concept of linear combinations is central to linear algebra and related fields of mathematics