CSIR NET Mathematics 2024|Linear Algebra | 20 February 2024

Let a₁, a₂, a_n∈IR be such that a₁ + a₂ +…+ a_n = 0 &  then all eigenvalues of A are

Let A be the n × n matrix whose main diagonal entries are zero and elsewhere 1

i.e., a_ii = 0, 1 ≤ i ≤ n & a_ij = 1, i ≠ j then what are eigenvalues of A

If  then which of the following are true?

Let A be an n × n matrix such that the set of all non-zero eigen values has exactly r elements which of the following is true

Let ∈ M_n () and |A| = 1 If |a+d| > 2 then for which value of λ, A is not similar to