Question 3075 – Research Aptitude
December 9, 2023Question 14065 – NIC-NIELIT Scientist-B 2020
December 9, 2023Question 16547 – TIFR PHD 2022
Consider the polynomial p(x) = x3 − x2 + x − 1. How many symmetric matrices with integer entries are there whose characteristic polynomial is p? (Recall that the characteristic polynomial of a square matrix A in the variable x is defined to be the determinant of the matrix (A − xI) where I is the identity matrix.)
Correct Answer: A
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