The matrix A=[-2,0,2;0,-4,0;-2,0,-6]
has a single eigenvalue=-4 with algebraic multiplicity three.
a.find the basis for the associated eigenspace.
b.is the matrix defective? select all thatapply.
1. A is not defective because the eigenvalue has algebraicmultiplicity 3.
2.A is defective because it has one eigenvalue.
3.A is defective because geometric multiplicity of the eigenvalueis less than the algebraic multiplicity.
4.A is not defective because the eigenvectors are linearlydependent.
