# GATE Questions & Answers of Eigen Values and Eigen Vectors

## What is the Weightage of Eigen Values and Eigen Vectors in GATE Exam?

Total 5 Questions have been asked from Eigen Values and Eigen Vectors topic of Linear Algebra subject in previous GATE papers. Average marks 1.40.

Which one of the following statements is NOT true for a square matrix A?

The minimum eigenvalue of the following matrix is $\left[\begin{array}{ccc}3& 5& 2\\ 5& 12& 7\\ 2& 7& 5\end{array}\right]$

The eigen values of a skew-symmetric matrix are

The eigen values of the following matrix are $\left[\begin{array}{ccc}-1& 3& 5\\ -3& -1& 6\\ 0& 0& 3\end{array}\right]$
All the four entries of the 2×2 matrix $p=\left[\begin{array}{cc}{p}_{11}& {p}_{12}\\ {p}_{21}& {p}_{22}\end{array}\right]$ are nonzero, and one of its eigenvalues is zero. Which of the following statements is true?