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...

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 that apply.
1. A is not defective because the eigenvalue has algebraic multiplicity 3.
2.A is defective because it has one eigenvalue.
3.A is defective because geometric multiplicity of the eigenvalue is less than the algebraic multiplicity.
4.A is not defective because the eigenvectors are linearly dependent.

Expert Solution

Colby Messinger answered 2 years ago

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