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sol-assignment9 - 2 A is diagonalizable since it’s a...

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1 University of Toronto at Scarborough Department of Computer and Mathematical Sciences Linear algebra II MATB24 Fall 2010 Section 6.3
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6 In addition: 1) Eigenvalues are 0 and 1. For = 0, its algebraic multiplicity and geometric multiplicity are both 1; For = 1, its algebraic multiplicity and geometric multiplicity are both 2. Therefore the matrix is diagonalizable.
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Unformatted text preview: 2) A is diagonalizable since it’s a symmetric matrix. B is not diagonalizable since the eigenvalue 3 has algebraic multiplicity 3 but geometric multiplicity only1. C is diagonalizable since its eigenvalues are distinct. D is diagonalizable since it’s a symmetric matrix....
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