4-2 0-1 -1 -2 4 7. Let A be an eigenvalue of A on a vector space V, and let V₁ = Lv IZ. Mar

Determine all nn symmetric matrices that have 0 as their only eigenvalue.

For what values of a does the matrix A=[01a1] have the characteristics below? a A has eigenvalue of multiplicity 2. b A has 1 and 2 as eigenvalues. c A has real eigenvalues.