GATE (TF) Textile 2007 Question Paper Solution | GATE/2007/TF/01

Question 01 (Textile Engineering & Fibre Science)

The eigen values of the matrix \begin{bmatrix}-3 & 2\\ 1 & -2\end{bmatrix} are \lambda_1 =-1 and \lambda_2 =-4. An eigen vector of the given matrix is

(A)\begin{bmatrix}2\\ 1\end{bmatrix}
(B)\begin{bmatrix}1\\ -1\end{bmatrix}
(C)\begin{bmatrix}1\\ 1\end{bmatrix}
(D)\begin{bmatrix}-2\\ -1\end{bmatrix}
[Show Answer]

Option C is correct.

Given-

Eigen values of the matric-

A=\begin{bmatrix}-3 & 2\\ 1 & -2\end{bmatrix}

\lambda_1 =-1 and \lambda_2 =-4

Eigen vector of the matrix=?

Solution-

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