IIT Kanpur Sample

Question

4 What is the unit eigenvector corresponding  to minimum eigenvalue of matrix

1   -1

-1    1

Comments

Minimum eigen value is $\lambda = 0$ and eigen vector corresponding to this is $[1, 1]^T$.

Answer 1

Eigenvalues of the matrix are 0 and 2. So, the minimum eigenvalue is 0.

The eigenvector corresponding to it is tranpose of [1,1].