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What is a coordinate vector?

Understand the Problem

The question is asking for the definition and explanation of a coordinate vector, which is a key concept in vector spaces and linear algebra. It generally refers to a representation of a vector in terms of its components relative to a certain basis.

Answer

A coordinate vector is an ordered list of numbers describing a vector in a basis.

A coordinate vector is a representation of a vector as an ordered list of numbers that describes the vector in a given basis.

Answer for screen readers

A coordinate vector is a representation of a vector as an ordered list of numbers that describes the vector in a given basis.

More Information

The concept of coordinate vectors is pivotal in linear algebra as it allows vectors to be described concerning specific bases, simplifying vector operations and transformations.

Tips

A common mistake is confusing the coordinate vector with the original vector. It's important to remember that the coordinate vector depends on the chosen basis.

Sources

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