Question: A particular operator TL(C3)TL(C3) is known to have two eigenvalues, 1=20221=2022 and 2=122=12. It is also known that the multiplicity of 2=122=12 is 11. By

A particular operator TL(C3)TL(C3) is known to have two eigenvalues, 1=20221=2022 and 2=122=12. It is also known that the multiplicity of 2=122=12 is 11. By Theorem 8.29, there is a basis so C3C3 so that M(T)M(T) can be represented by a block diagonal matrix. Determine as many values of this block diagonal matrix as you can from the given information

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