Let Q be an nxn invertible matrix and {u₁, U2,..., uk} is a

Last updated: 8/3/2022

Let Q be an nxn invertible matrix and {u₁, U2,..., uk} is a set of vectors in R. Prove that {u₁, 12,..., uk} is linearly independent if and only if {Qui, Qu₂,..., Que} is linearly independent.