Regarding the linear operator T (x, y, x) = (x + y + z, x + y + z, x + y + z) of R3.

T

thomasween

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the linear operator T (x, y, x) = (x + y + z, x + y + z, x + y + z) of R3.

What are the eigenvalues?

Is T diagonalizable?
 
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can you write out the matrix representation of T ?

that will make it clearer how to compute the eigenvalues.
 
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thomasween said:
the linear operator T (x, y, x) = (x + y + z, x + y + z, x + y + z) of R3.

What are the eigenvalues?

Is T diagonalizable?
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