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Let , = 1, a, =- 1, = 2, , = 4 be eigenvalues of a matrix over the field of real number d and i, (2), 1, (), i, (2), i, (2) be the corresponding lagrange interp
Let , = 1, A, =- 1, = 2, , = 4 be eigenvalues of a matrix over the field of real number D and I, (2), 1, (), I, (2), I, (2) be the corresponding Lagrange interpolating polynomials. Let p() =1 + +2 + 3. Then p() = a,l,(a) + a(a)+ a,0) + a,a) where (A) (B) (C) (D) a, = 1, a, = 1, a, = 1, a, = 1. a, = 1, a, = - 1, a, = 2, a, = 4. a, = 4, a, = 0, a, = 15, a, = 85. a = (2,) for j = 1, 2, 3, 4. 3 1 1
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PFA. Ans-C