The Coordinate Mapping (Theorem)

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Let B be a Basis for a Vector Space V. Then the Coordinate Mapping is a 1-1 Linear Transformation from V onto Rn.
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I can feel this theorem only because of you, u r amazing, thank you so much mam 🥰

HRthought
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hi, I have a question :
do we call [x]B-->x a coordinate mapping since it gets us back to the normal basis?

HaninMesallam--