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Divam Kumar posted an Question
September 08, 2020 • 14:30 pm 30 points
  • IIT JAM
  • Mathematics (MA)

Let p be the vector space (over r) of all polynomials of degree s 3 with real coefficients. consider the linear transformation t: p >p defined ta,+ax + ax * a,x

Let P be the vector space (over R) of all polynomials of degree s 3 with real coefficients. Consider the linear transformation T: P >P defined Ta,+ax + ax * a,x) = a, * ax+ a,x * ax Then the matrix representation M of I with respect to the ordered basis {1, X, X, *} satisties (A) M+ = 0 (C)M-L= 0 (B) M-=0 (D)M + 0

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  • Anonymous User

    rank of T matrix is 4 so eigen value is 1 occur 4 times so characteristic equation is( 1-r)^4 and every real matrix satisfy characteristic equation so m-I=0 should be the answer....pleae see

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