NDA 2019 Mathematics question

MathematicsDeterminantsNDA 2019

A is a square matrix of order 3 such that its determinant is 4. What is the determinant of its transpose?

Answer: (D)

Solution

Interchanging the rows and columns of a determinant does not change its value: . Hence the determinant of the transpose is 4.

Question ID VK-035364