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Gate 2016 EE (Set 1) Q2

Gate 2016 EE (Set 1) Q2

2. Consider a  3\times 3 matrix with every element being equal to 1. Its only non-zero eigenvalue is:-----
Solution:
Consider  A_{3\times3}=\begin{bmatrix} 1& 1 &1 \\ 1& 1 &1 \\ 1& 1 &1 \end{bmatrix}
Order of the matrix=3
Let eigen value  \lambda
Then  \lambda=1 \times order of the matrix (i.e. 3)
=1\times 3 =3
\therefore Answer: 3

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