Antima jangid Asked a Question
January 4, 2022 6:44 ampts 30 pts
11. If P and are invertible matrices such that PO=-QP, then we can conclude that (a) Tr (P) =Tr (Q) =0 (b) Tr(P)=Tr(0)=1 (c)Tr(P)=-Tr(0) (d) Tr(P)*Tr(0)
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  • Viksha garg thankyou
    Pre-multiply by P−1 to get Q=P−1(−Q)P which implies that matrices Q and −Q are similar, so tr(Q)=tr(−Q)⟹tr(Q)=0. Similarly you can get tr(P)=0 also
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