In mathematics, 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).Keeping this in consideration, what is a linear combination of matrices?

**Linear combinations**are obtained by multiplying

**matrices**by scalars, and by adding them together. Therefore, in order to understand this lecture you need to be familiar with the concepts introduced in the lectures on

**Matrix**addition and Multiplication of a

**matrix**by a scalar. Definition.

**Linear combinations**of vectors.

What is the definition of combination in math?

In

**mathematics**,**combinations**and permutations are normally studied at the same time because they are very similar. But while a**combination**is a collection of the objects where the order doesn't matter, a permutation is an arrangement of a group of objects where the order does matter.