] are two matrices such that the sum of the principal diagonal elements of both A and B are equal, then the product of the principal diagonalelements of B is _______.
] Given, trace of A= trace of B ⇒a2+b2+c2=2a+2b+2c−3 ⇒(a2−2a+1)+(b2−2b+1)+(c2−2c+1)=0 ⇒(a−1)2+(b−1)2+(c−1)2=0 ⇒a=1,b=1,c=1 Then product of diagonal elements of B =(2a)(2b)(2c−3)=(2)(2)(2−3)=−4