A determinant of second order is made with the elements 0 and 1. The number of determinants with non-negative values is:

Engineering

Mathematics

Introduction to Determinants

Question

LiveFree JEE Main Previous Year Online Papers Live Free JEE Advance Previous Year Online Papers

College PredictorLive

Know your College Admission Chances Based on your Rank/Percentile, Category and Home State.

Get your JEE Main Personalised Report with Top Predicted Colleges in JoSA

There are only three determinants of second order with negative value, $∣ \begin{array}{cc} 0 & 1 \\ 1 & 0 \end{array} ∣, ∣ \begin{array}{cc} 0 & 1 \\ 1 & 1 \end{array} ∣, ∣ \begin{array}{cc} 1 & 1 \\ 1 & 0 \end{array} ∣$
Number of possible determinants with elements 0 and 1 are 2⁴ = 16
therefore, number of determinants with non-negative values is 13.

Please subscribe our Youtube channel to unlock this solution.