Consider an n × n matrix A and a non-zero n × 1 vector p. Their product Ap = α 2 p, where α ∈ ℜ and α ∉ {-1, 0, 1}. Based on the given information, the eigen value of A 2 is:

GATE Mechanical Engineering (ME) 2021 Shift 2 Solved Paper

Question : 11 of 65

Marks: +1, -0

Consider an n × n matrix A and a non-zero n × 1 vector p. Their product Ap = α²p, where α ∈ ℜ and α ∉ {-1, 0, 1}. Based on the given information, the eigen value of A² is:

α²
√α
α
α⁴

Validate

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