Let A=111 and B=92−102112122132−142−152162172, then the value of A’BA is:

Let , then the value of A'BA is:

1. A

1224

2. B

1042

3. C

540

4. D

539

Fill Out the Form for Expert Academic Guidance!l

+91

Live ClassesBooksTest SeriesSelf Learning

Verify OTP Code (required)

Solution:

$\begin{array}{l}{\mathrm{A}}^{\mathrm{\prime }}\mathrm{BA}=\left[\begin{array}{lll}1& 1& 1\end{array}\right]\left[\begin{array}{lcc}{9}^{2}& -{10}^{2}& {11}^{2}\\ {12}^{2}& {13}^{2}& -{14}^{2}\\ -{15}^{2}& {16}^{2}& {17}^{2}\end{array}\right]\left[\begin{array}{c}1\\ 1\\ 1\end{array}\right]\\ =\left[\begin{array}{lll}{9}^{2}+{12}^{2}-{15}^{2}& -{10}^{2}+{13}^{2}+{16}^{2}& {11}^{2}-{14}^{2}+{17}^{2}\end{array}\right]\left[\begin{array}{c}1\\ 1\\ 1\end{array}\right]\\ =\left[{9}^{2}+{12}^{2}-{15}^{2}-{10}^{2}+{13}^{2}+{16}^{2}+{11}^{2}-{14}^{2}+{17}^{2}\right]\\ =\left[539\right]\end{array}$

Related content

 Area of Square Area of Isosceles Triangle Pythagoras Theorem Triangle Formulae Perimeter of Triangle Formula Area Formulae Volume of Cone Formula Matrices and Determinants_mathematics Critical Points Solved Examples Type of relations_mathematics

+91

Live ClassesBooksTest SeriesSelf Learning

Verify OTP Code (required)