-
Consider the matrix A = 
50 70 
70 80
whose eigenvectors corresponding to eigenvalues λ1 and λ2 are
respectively. The value of x1 Tx2 is ________.
-
- 2
- 1
- 0
- -1
Correct Option: C
| A = | | | 70 | 80 |
Eigen values of A are λ1 , λ2
λ1 + λ2 = 130
λ1λ2 = - 900
| Given that X1 = | | | λ1 | -50 | ||
| X2 = | | | 70 |
| X1TX2 = [70λ1 - 50] | | | 70 |
= 70 λ2 –5600 + 70 λ1 – 3500
= 70 (λ1 + λ2) – 9100
= 70 (130) – 9100 = 0
