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3 years ago

9

How to find characteric polynomial of a 2x2 matrix?

1 answer:

tatyana61 [14]3 years ago

5 0

The roots of the characteristic<span> equation are the eigenvalues. Suppose they are a and b, then the </span>characteristic<span> equation is (x−a)(x−b)=0⟹x2−(a+b)x+ab=0. The product of eigenvalues is the determinant, and the sum is the trace, hence we</span>get<span> the equation x2−tr(A)x+det(A)=0.</span>

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3 years ago

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Step-by-step explanation:

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