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Deepak Patra posted an Question
October 18, 2021 • 20:08 pm 30 points
  • IIT JAM
  • Mathematics (MA)

Q.20- let i denote the 4 x 4 identity matrix. if the roots of the characteristic polynomial of a 4 x 4 matrix mare + y, then m*= (a) i+ m12 (b) 2/+ m2 (c) 21+3m

Q.20- Let I denote the 4 x 4 identity matrix. If the roots of the characteristic polynomial of a 4 x 4 matrix Mare + y, then M*= (A) I+ M12 (B) 2/+ M2 (C) 21+3M? (D) 3/ +2M2

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  • Anonymous User best-answer

    C char equal of M is x^4-x²-1=0 by cleay th M^4-M²-I=0 M^4-=M²-I M^8=(M²-I)²=M^4+2M²+I =M²+I+2M²+I=3M²+2I

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