Let A Be An Nn Real Matrix And Denote By AF The Frobenius Norm Of A Recall That The Frobenius Norm Has The Following Equivalent Definitions A F Aij TraceATA Ij A Use The Second Trace Based Definition To Show That AF UAF For Any Real Orthogonal N N Matrix U B Use A And Transposes To Show That AF AV F For Any Real Orthogonal Nn Matrix V
