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
- Coordinate vector - Wikipedia - en.wikipedia.org
- Coordinate vector - StatLect - statlect.com
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