Question: Define a linear transformation T: P P by T(c+bx+ ax) = (3c + b + 6a) + (2c+b)x (c+3a)x. Recall: The ordered standard basis

Define a linear transformation T: P P by T(c+bx+ ax) = (3c

Define a linear transformation T: P P by T(c+bx+ ax) = (3c + b + 6a) + (2c+b)x (c+3a)x. Recall: The ordered standard basis of Pn can be found in 4.5. (a) Find the eigenvalues of T. (b) Find the bases for the eigenspaces of T. (Here, the eigenspaces of T are subspaces of P2.)

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