Question
12. The operator x can be written in the matrix representation as x = = (5) a. Find the normalised eigenvectors of x with
12. The operator x can be written in the matrix representation as x = = (5) a. Find the normalised eigenvectors of x with their corresponding eigenvalues. b. Show that eix (cos 0)1 + i(sin0)x, where 1 is the identity operator. Is this statement true for any 2x2 matrix, or does your proof invoke some more specific property of x?
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Linear Algebra A Modern Introduction
Authors: David Poole
4th edition
1285463242, 978-1285982830, 1285982835, 978-1285463247
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