What does it means for a set of vectors a1; a2; : : : ; ;...

What does it means for a set of vectors a1; a2; : : : ; ; an to be linearly independent?
What is the span of the set?

This question is about linear algebra

Expert Solution

Solution:

Definition: The vectors are linearly independent if and only if whenever there are scalars such that implies for all

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Definition:

Let be a set of vectors and be scalars . An expression of the type is called a linear combination of .

The set of all linear combinations of the vectors is called a span of the set .

milcah answered 2 years ago

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