The Eigen values of a 3×3 matrix are λ1, λ2, λ3 then the Eigen values of a matrix A3 are __________

The Eigen values of a 3×3 matrix are λ1, λ2, λ3 then the Eigen values of a matrix A3 are __________ Correct Answer \(λ_1^3, λ_2^3, λ_3^3\)

If λ1, λ2, λ3……… λn are the Eigen values of matrix A then the Eigen values of matrix Am are said to be \(λ_1^m, λ_2^m, λ_3^m,………λ_n^m\). So, the answer is \(λ_1^3, λ_2^3, λ_3^3\).

Related Questions

Consider the system of equations A(n × n) X(n × 1) = λ(n × 1) where, λ is a scalar. Let (λi, xi) be an eigen-pair of an eigen value and its corresponding eigen vector for real matrix A. Let $$I$$ be a(n × n) unit matrix. Which one of the following statement is NOT correct?