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Ayush Anurag Sawal Grade: 12
        

  • Let A & B be 3*3 matrix of real numbers , where A is symmetric & , B is skew symmetric, &(A+B)(A-B)=(A-B)(A+B).if (AB)T   =(-1)k AB,where  (AB)T  is the transpose of the matrix AB, then the possible values of k are                                                                        

    Ans=1&3



  •  


8 years ago

Answers : (1)

Pratham Ashish
17 Points
										

hi ayush,


(A+B)(A-B)=(A-B)(A+B)


we will get AB = BA


 


use dis property to get one of d values


(AB)T = BTAT


so apply dis n write BT = -B (as dis is a skew symm)


u will get(AB)T   =(-1) AB     (AB= BA , using d given condition)


 


thus getting value of k=1


 


 

8 years ago
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