Prove: If {u, u2, ..., if A can be expressed as u, } is an orthonormal...

 

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Prove: If {u, u2, ..., if A can be expressed as u, } is an orthonormal basis for R", and A = c,u;u{ + c,u,u + .+ c,u, u then A is symmetric and has eigenvalues c1, C2, ..., Cn. Prove: If {u, u2, ..., if A can be expressed as u, } is an orthonormal basis for R", and A = c,u;u{ + c,u,u + .+ c,u, u then A is symmetric and has eigenvalues c1, C2, ..., Cn.

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