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The matrix \( \mathrm{A}=\left[\begin{array}{ccc}\lambda_{1}^{2} & \lambda_{1} \lambda_{2} & \lambda_{1} \lambda_{3} \\ \lambda_{2} \lambda_{1} & \lambda_{2}^{2} & \lambda_{2} \lambda_{3} \\ \lambda_{3} \lambda_{1} & \lambda_{3} \lambda_{2} & \lambda_{3}^{2}\end{array}\right] \)
\( \mathrm{P} \)
W
if \( \lambda_{1}^{2}+\lambda_{2}^{2}+\lambda_{3}^{2}=k \)
Where \( \lambda_{1}, \lambda_{2}, \lambda_{3} \) are non-zero real numbers, Then the value of \( (10+k)^{2} \) is....
(A) 81
(B) 100
(C) 121
(D) 144
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