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  • 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                                                                        



7 years ago


Answers : (1)


hi ayush,


we will get AB = BA


use dis property to get one of d values


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



7 years ago

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