can someone please help me answer this linear algebra question? one eigenvalue for the matrix A=[3,0,0;-2,4,-2;-2,1,5] is lambda= 3. find...

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can someone please help me answer this linear algebra question? one eigenvalue for the matrix A=[3,0,0;-2,4,-2;-2,1,5] is lambda= 3. find a basis for the corresponding eigenspace.
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