exam Maths Puzzle Numerical Ability

Question Solving using chart: The cross-country teams of East High and West High run against each other twice each fall. At the first meet, East's score was two thirds of West's sc

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Let T be the linear operator on R^n that has the given matrix A relative to the standard basis En. Find the spectral decomposition of T.

A = 8 5 -5
5 8 -5
15
k-3k=36