GATE Electrical 2019 | Question: 24

Question

The rank of the matrix, $M = \begin{bmatrix} 0 &1 &1 \\ 1& 0 &1 \\ 1& 1 & 0 \end{bmatrix}$, is  ______________.

Answer 1

Rank of the matrix is 3 because there are 3 independent rows. 

Alternative reason: The determinant of the matrix is a non-zero value, thus rank of the matrix = number of rows in the matrix