values of (1, Ar) on the manifold where (1, B1): Let A and B be Hermitian operators on a real Hilbert space. Prove that the stationary 1 are necessarily numbers A for which = AAB is not invertible.

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Q: Example 7.31. Obtain the cubic spline for the following data x: 0 1 2 3 y: 2 - 6 -8 2

A: To find:  Cubic spline for the following data: x 0 1 2 3 y 2 -6 -8 2

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Q: 8. Solve the recurrence relation an = given do = 40, a₁ = = 37. 2an-1-an-2, n ≥ 2,

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