Question

please answer this question quickly. I will make the answer brainliest​

Answer 1

Theory :-

Such type of problems are solved using the theory of characteristic equation.

Let, A be a square matrix

• |A - xI| is called characteristic polynomial of square matrix A
• |A - xI| = 0 is characteristic equation of square matrix A
• Every square matrix A satisfies its characteristic equation.
• Trace(A) = Sum of roots of characteristic equation & |A| = Product of roots

Solution :-

Refer attachment

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