GATE2019 ME-1: 1

Question

• A.
• B.
• C.
• D.

Consider the matrix

$$P=\begin{bmatrix} 1 & 1 & 0 \\ 0 & 1 & 1 \\ 0 & 0 & 1 \end{bmatrix}$$

The number of distinct eigenvalues

• A. $0$
• B. $1$
• C. $2$
• D. $3$

Answer 1

There will be 3 Eigen values which are 1,1,1. All of these are same so the no of distinct Eigen values will be 1.

Right answer will be option  (B) 1