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.

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

70.2K

Verified Solution

Question

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

70.2K

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Question

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.

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

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.