GATE (TF) Textile 2010 Question Paper Solution | GATE/2010/TF/22

Question 22 (Textile Engineering & Fibre Science)

The matrix \begin{bmatrix}1 & 3 & 2\\ 2 & 3 & 5\\ 1 & 4 & P\end{bmatrix} has one eigen value equal to 3. The sum of two other eigen values is

(A)P
(B)P+4
(C)P-1
(D)P+1
[Show Answer]

As we know that the sum of the diagonl element of the matix is equal to sum of the eigen values.
P+3+1=3+(P+1)

i.e. the sum of two other eigen values=P+1 (Ans)

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