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Det(A-λI)=0 is a ________

Det(A-λI)=0 is a ________
a) Characteristic equation
b) Matrix equation
c) Inversion of matrix
d) Cholesky’s equation

Answer: a
Explanation: 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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