Teaching CSIR NET Mock Test Series Mathematical Science Linear Algebra

Let A = (a_{i, j}) be the n × n real matrix with a_{i, j} = ij for all 1 ≤ i, j ≤ n. If n ≥ 3, which one of the following is an eigenvalue of A?

1

1

2

n

3

n(n + 1)/2

4

n(n + 1)(2n + 1)/6

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