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Det(A-λI)=0 is a ________

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+1 vote
in Finite Element Method by (110k points)
Det(A-λI)=0 is a ________

(a) Characteristic equation

(b) Matrix equation

(c) Inversion of matrix

(d) Cholesky’s equation

I got this question in exam.

I'd like to ask this question from Matrix Algebra topic in section Matrix Algebra and Gaussian Elimination of Finite Element Method

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Right answer is (a) Characteristic equation

To explain I would say: A non zero solution will occurs when (A-ɅI) is a singular matrix or det(A-ɅI)=0 it is a characteristic equation. A characteristic equation is the equation which is solved to find the Eigen values, also called the characteristic polynomials.

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