## Answers

A = [1 squareroot 2 squareroot 2 0] the possible results of the measurement of A are just the Eigen values of A let's find its Eigen values. Let (A - lambda I) = 0 implies let [1 - lambda squareroot 2 squareroot 2 0 - lambda] = 0 implies - lambda + lambda^2 - 2 = 0 implies lambda^2 - lambda - 2 = 0 implies lambda^2 + lambda - 2 lambda - 2 = 0 implies lambda (lambda + 1) - 2 (lambda + 1) = 0 implies (lambda - 2) (lambda + 1) = 0 implies lambda = 2 or lambda = 1 therefore the possible results of measurement are lambda = 2 or lambda = 1

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