Let A = [1 1 1] and B = [{9^2 -10^2 11^2} {12^2 13^2 -14^2} {-15^2 16^2 17^2}], then the value of A'BA is: ​

Question

Let \(A = \begin{bmatrix}1\\1\\1\end{bmatrix}\) and \(B = \begin{bmatrix} 9^2 &-10^2&11^2\\12^2&13^2&-14^2\\-15^2&16^2&17^2\end{bmatrix}\), then the value of A'BA is: 

(A) 1224

(B) 1042

(C) 540

(D) 539

Answer 1

Correct option is (D) 539