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Let M=[[116,−48],[−48,44]]. Notice that 20 is an eigenvalue of M. Let U be an orthogonal matrix...

Let M=[[116,−48],[−48,44]]. Notice that 20 is an eigenvalue of M. Let U be an orthogonal matrix such that (U^−1)(M)(U) is diagonal, the first column of U has positive entries, and det(U)=1. Find (√20)⋅U.

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