Question: give matrix A A = [[-9, 3, 0], [-30,10,0], [12,-6,-3]] find all eigenvalues of A. then find a basis for the eigenspace of A corresponding

give matrix A

A = [[-9, 3, 0],

[-30,10,0],

[12,-6,-3]]

find all eigenvalues of A.

then find a basis for the eigenspace of A corresponding to each eigenvalue.

for each eigenvalue give the dimension of the eigenspace corresponding to that eigenvalue.

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