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Let A be a square matrix defined by ( A = egin{pmatrix}3&2\ 3&-2end{pmatrix} ) (a) Find...

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Advance Math

Let A be a square matrix defined by ( A = egin{pmatrix}3&2\ 3&-2end{pmatrix} )

(a) Find the characteristic polynomial of A.

(b) Show that A is diagonalizable then diagonalize it.

(c) Write ( A^n ) in term of n.

Answer & Explanation Solved by verified expert
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Solution a Find the characteristic polynomial of A implies PlambdaAlambda Ilambda2lambda12igglambda4iggigglambda3lambdaigg Therefore the characteristics polynomial is PlambdaAlambda Iigglambda4iggigglambda3lambdaigg b Show that A is diagonalizable then diagonalize it    See Answer
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