122/2014

1,

Which of the following stalements is not correct 7

(A) _The family F consisting of all finite subsets of {} and their complements always is a
a-field,

(1) The family I consisting of all countable subsets of {t and their complements always is a
൦860.

(©) 112 ۵۸۵ ನ) ೩7೮ 0-00105 011 13, ப்ள) 0150 ಡ o-field.

യു If Fisa o-field on 2 and A = £, then G= |ArB: B e 7] 18 ೩ o-field on A.

Which of the following is a sufficient condition for the real valued function f to be Riemann
integrable with respect to a on [a, b] ?

(A) fis continuous on [a, b]

(B) fis of bounded variation on [a, 0]

)6 fis of bounded variation ೧೫ (8, |] 8710 6 15 continuous on [२, 9]

(D)« is of bounded variation on [a, b]

Which of the following sequences [f, } is not uniformly convergent on [0, 1] ?

- ग - 10 (111 மட்ட)
(ಗಿ) ಓಟ) ಸ್‌ (8) ८) 0
© ‏مدو‎ യു ‏ترق دوا‎

Let A be a set of rational numbers in [0, 10]. Then the Lebesgue measure of A is :
(ക) 18 (8) 0 ©) = (D) None of these

1f [x] denotes the greatest integer function, then the value of the Riemann-Stieltjes

'mtegral_[ozlxld(xz) 16:

(A) 3 (8) 8/3 (ಲ) 3 D) 9
The following vectors (1, 9,9, 8), (2, 0, 0, 8), (2,0, 0, 3) ೩೯೪ :

(A) Linearly dependent (8) Linecarly independent

(C) னப vectors (12) None of these

. . 0 X 1
The matrix | _; ௦15:

(ಗಿ) Hermitian matrix (B) வண Hermitian matrix
(9) Symmetric matrix (D) Skew symmetric matrix

If A is a 6% 6 matrix of rank 4 then its nullity is :
(A) 2 (ए) 4 (€) 6 യു 10

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