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6 Nov 2019
Define T : P2 rightarrow P2 by T(a + bx + cx2) = (b + c) + (a + c)x + (a + b)x2. Show that T is diagonalizable by exhibiting a basis of P2 consisting of eigenvectors. (You need not verify that T is linear.) Show transcribed image text
Define T : P2 rightarrow P2 by T(a + bx + cx2) = (b + c) + (a + c)x + (a + b)x2. Show that T is diagonalizable by exhibiting a basis of P2 consisting of eigenvectors. (You need not verify that T is linear.)
Show transcribed image text