If lambda max is the largest eigenvalue of a real symmetric matrix A, show that no diagonal entry of A can be larger than lambda max.
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We can show that , using the fact that is diagonalizable in an orthonormal base.
can u please explain further in detail
First, show the property about I mentioned when is a diagonal matrix. Jump to the general case using the fact that there exists an orthogonal matrix and a diagonal matrix such that .
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