BC0043-Computer_Oriented_Numerical_Methods-MQP

# If 2 1 5 3 a and 3 1 5 2 b then the value of ab a 1 1

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46. If 2 1 5 3 A and 3 1 5 2 B then the value of AB = A) 1 1 1 1 B) 1 0 1 1 C) 1 0 0 1 D) 1 1 0 1

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47. On expanding 0 I A , we get a nth degree equation in , called the …………………… of the matrix A. 48. In the characteristic equation 0 6 7 2 , the value of the determinant is 49. In the method of moments the second moment is given by ………………. A) dx x f x ) ( 2 B) dx x f x ) ( 2 C) dx x f x ) ( D) dx x f x ) ( 50. From the following given values x 0 1 2 3 4 y = f(x) 1 2 4 5 9 the value of 0 3 y is A) 2 B) 2 C) 1 D) 4 51. If E is the shift operator then f(x nh) =
52. In Newton’s forward difference interpolation formula a n = A) n h y n n 0 B) ! 0 n h y n n C) ! 0 n h y n D) ! 0 hn y n 53. Consider the following data x 2 4 5 6 8 10 y 10 96 196 350 868 1746 Here the value of ) 7 ( f is A) 87 B) 68 C) 58 D) 78 54. The eigen values of the matrix 3 4 2 4 7 6 2 6 8 A is ……………………..

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55. The characterstic equation of the matrix 1 1 3 3 2 1 2 1 0 A is 56. Consider the following data x 0 1 2 3 4 y 1 5 10 22 38 The straight line of best fit for this data is 57. State whether true(T) or false(F) The higher order forward differences are (i) 0 0 ) 1 ( y E y k k (ii) 0 ) 1 ( y y k k A) (i) T (ii) T B) (i) T (ii) F C) (i) F (ii) F D) (i) F (ii) T 58. The value of )) ( ) ( ( x bg x af where a, b are constants is equal to A) )] ( [ )] ( [ x g b x f a B) )] ( [ )] ( [ x g a x f b
C) )] ( [ )] ( [ x g b x f a D) )] ( [ )] ( [ x g a x f b 59. Consider the data x 0 1 2 3 4 5 y 4 8 15 7 6 2 the value of y’(0) = A) 37.9 B) 27.9 C) 47.9 D) 17.9 60. The error in Simpson’s one - third rule is ……………… A) ) ( 180 ) ( 4 iv y h a h B) ) ( 180 ) ( 4 iv y h a h C) ) ( 18 ) ( 4 iv y h a h D) ) ( 180 ) ( 3 iv y h a h Part C (Four mark questions) 61. If 3 2 is approximated by 0.667, then the relative error is …………………. A) 4 10 2 1 B) 2 10 2 1 C) 3 10 2 1

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