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Prerna Chaudhary posted an Question
September 26, 2022 • 04:03 am 30 points
  • IIT JAM
  • Mathematics (MA)

Ifa is orthogonal matrix of order 3 then determinant of adjoint of adjoint of 2a20 is (3) 16 (4) 4096 (2) 1 none

IfA is orthogonal matrix of order 3 then determinant of adjoint of adjoint of 2A20 is (3) 16 (4) 4096 (2) 1 none

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  • Dr. avtar chand Best Answer

    adj(adjA)=|A|^(n-2).A A is orthogonal matric so det of A is 1 det of 2A²⁰ is 2³detA²⁰=8x(detA)²⁰=8 let B=2A²⁰ then det B =8 adj(adjB) is |B|B=8B det of adj(adjB) = 8³.8=8⁴=4096

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