Question: 5. Consider the square matrix A and the vectors V, V2, V3 given by 1 18 30 3 ^ - ( 2 - -

5. Consider the square matrix A and the vectors V, V2, V3

5. Consider the square matrix A and the vectors V, V2, V3 given by 1 18 30 3 ^ - ( 2 - - ) - ( ) - ( ;) -- (-:-) V2 265 0 Show that v, is an eigenvector for A for i=1,2,3 and find the corresponding eigen- values. Use this to find an invertible matrix P and a diagonal matrix D such that A = PDP-

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