Question

Determinant of second order is made with the element 0 and 1. The number of determinants with non negative values is

• A. 3
• B. 10
• C. 11
• D. 13

Answer 1

Answer: (D)

13

Answer 2

Three determinant of second order negative value are possible $\left| \begin{matrix} 0 & 1 \\ 1 & 0 \end{matrix} \right|$ $\left| \begin{matrix} 0 & 1 \\ 1 & 1 \end{matrix} \right|$ $\left| \begin{matrix} 1 & 1 \\ 1 & 0 \end{matrix} \right|$

No. of possible determinant with element 0,1

are 2⁴ = 16 so determinant with non negative value is 13