IIT JAM
Antima jangid Asked a Question
January 4, 2022 5:00 ampts 30 pts
  • IIT JAM
  • Mathematics (MA)

Is its answer 27 or 27/2 please confirm

2. Let M be a 3x3 matrix such that M -3 0 1 and suppose that M-1/2 =B for some a,B.ye R. Then a is equal to.
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  • Navdeep goyal 1 thankyou
    MX=-3x so -3 is one Eigen value of M since -3 is an eigen value of M therefore (-3)³=-27 is an eigen value of M³ M³(1 1/2 0) = (-27 -27/2 0) so |@|=27
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