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MATH 304 Linear Algebra
2 1 1 2 . • The matrix A has two eigenvalues: 1 and 3. • The eigenspace of A associated with the eigenvalue 1 is the line t(−1,1). • The eigenspace of A associated with the eigenvalue 3 is the line t(1,1). • Eigenvectors v1 = (−1,1) and v2 = (1,1) of the matrix A form an orthogonal basis for R2. • Geometrically, the mapping x ...
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