Question

A 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

L Three determinant of second order with negative value are possible

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 elements 0, 1 are 2⁴ = 16 So, determinant with non negative value is 13.