CBSE class 12 algebra explained: Higher-order thinking questions students shouldn’t ignore

In Mathematics exam, the CBSE class 12 students are tested on concepts like reasoning, application, and problem-solving ...
Ars Technica

simple math question: why does the identity matrix imply linear independence?

I know to find if a set of vectors are linearly indepenent I have to put them in a matrix and get the rref. if the rref == the identity matrix, then the vectors are linearl independent. but why? can ...