how to find characteristics polynomial of matrix(2×2 and 3×3)(short method)without using |A-kI| = O

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how to find characteristics polynomial of matrix(2×2 and 3×3)(short method)without using |A-kI| = O

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how to find characteristics polynomial of matrix(2×2 and 3×3)(short method)without using |A-kI| = O

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how to find characteristics polynomial of matrix(2×2 and 3×3)(short method)without using |A-kI| = O