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Find all distinct (real or complex) eigenvalues of A. Then find the basic eigenvectors of A...

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Basic Math

Find all distinct (real or complex) eigenvalues of A.Then find the basic eigenvectors of A corresponding toeach eigenvalue.
For each eigenvalue, specify the number of basic eigenvectorscorresponding to that eigenvalue, then enter the eigenvaluefollowed by the basic eigenvectors corresponding to thateigenvalue.

A = 11 ?10

17 ?15

Number of distinct eigenvalues: ?

Number of Vectors: ?

? : {???}

Answer & Explanation Solved by verified expert
4.3 Ratings (749 Votes)
We have A 11 10 17 15 The eigenvalues of A are solutions to its characteristic equation detA I2 0 or 245 0 or 2i2i 0 Hence the eigenvalues of A are 1 2i and 2 2i Further the eigenvector of A    See Answer
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