Teaching Haryana (HPSC) Assistant Professor Mock Test 2025 Engineering Mathematics Linear Algebra Eigenvalues
Let A be an n × n matrix such that the set of all its nonzero eigenvalues has exactly r elements. Which of the following statements is true?
1
rank A ≤ r
2
If r = 0, then rank A < n – 1
3
rank A ≥ r
4
A2 has r distinct non zero eigenvalues
5
Question Not Attempted