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  3. 5 let a b e r and define a matrix by a 1 t e...

5 Let a b E R and define a matrix by a 1 T E...

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Algebra

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5 Let a b E R and define a matrix by a 1 T E b a Is T necessarily invertible Explain your reasoning b Show that for all a b R T has two distinct real eigenvalues c Now suppose a b Find an eigenvector for each eigenvalue of 7

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