=13 10 ] has an eigenvalue λ = -9. -4 The matrix A = Find an eigenvector for this eigenvalue. Note: You should solve the following problem WITHOUT computing all eigenvalues. 9 9 The matrix B = has an eigenvector = -2 0 [-3] Find the eigenvalue for this eigenvector. λ =

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A: Hint: Solve RHS and LHS to varify all the three parts.

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A: If Av=λv for vA=0, we say that λ is the eigenvalue for v, and that v is an eigenvector for λ.

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