Find all distinct eigenvalues ofA. Then find the basic eigenvectors ofAcorresponding to each eigenvalue.

For each eigenvalue, specify the number of basic eigenvectors corresponding to that eigenvalue, then enter the eigenvalue followed by the basic eigenvectors corresponding to that eigenvalue.

A=

( 4 -3 0 )

( 6 -5 0 )

( 1 -1 -5 )

number of distinct eigenvalues=?/ number of vectors=? (find the numbers and it is no. of distinct eigenvalues over number of vectors)