Worksheet 10 Solutions - Linear Algebra I Worksheet 10 Solutions 1[3 pts Suppose is an eigenvalue of the n n matrix A Show that the set of all

Worksheet 10 Solutions - Linear Algebra I Worksheet 10...

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Linear Algebra I Worksheet 10 Solutions April 17, 2007 1. [3 pts] Supposeλis an eigenvalue of then×nmatrixA. Show that the set ofall eigenvectors associated withλ(along with the zero vector) is a subspace ofRn.(This is called theeigenspaceassociated toλ.) 2. (a) [3 pts] Find the characteristic equation for the matrixA=-23-2205 (b) [3 pts] Find the eigenvalues for this matrix.

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