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