0482018 اا ااه الام

87.

88.

89.

90.

91.

92.

93.

Which one of the following is the Kemel of the linear transformation T : R* — R® defined by
டே ಸ್ವಸ್ಯ ಸ್ನ) −− டே 0, ಸ್ಯ 0)?

A) Ker(T)={(a,0,0,b)|a,b e R} B) Ker(T)={(a,0,b,0)|a,b e R}

C) Ker(T)={(0,a,b,0)|a,b, € R} D) Ker(T)={(0,a,0,b)|a,b e R}

Which one of the following is the linear transformation T:R® — R? determined by the

1 21
matrix| 0 1 1] 1695066 10 116 51210810 0855 {6,, 6.,8.}?
-1 3 4 1 2 9

ಯಿ) 7(8, 0, ©) = (8 - ©, 28 - 0 + 36, 82 - 0 - 30)
8) 1(8, 0, 9) = (2 - ©, 28 + 0, 8 + 0 + 30)

© 7{&, 9, ©) = (&- 6, 28 + 0 + 36, 8 + 0 + 46}
0) 7(8, 0, ©} = (8 +©, 28 - 0 - 36, 3 + 0 4 40)

2 1
3 1 | 8/6
2 2

A) 5,2,1 B) 0,0,0 0) 5,3,2 0) 5,1,1

جح +~ +¬

The eigen values of the matrix A= |

Which one of the following is the inverse of a, a = —1 where - 18 a binary operation ೦೧
the set of Real numbers R, definedbya+b=a+b+ab?

_a 101 —a
‏1و 9 ٦ہع (8 1و 2ھ‎ 0 2.)

Let R be a commutative ring with unity of characteristic 4. Then for all 2, 0 € R, which
one of the following is the expansion of (a + 0 ?

A) a*+b* 8) 94 + 28202 + 04

©) ५ +44202 + ९4 0) 420 + 04

Which one of the following is not a subgroup of the cyclic group ಶ್ಶಿ ?
ಹಿ) {0,2,4,6} B) {0,1,3,4,6} C) {0,2,3,4,6} D) {0,4}

_ 12 3 4 5 6 7 8
Which one of the following is same asthe permutation | g 2 63 7 4 5 1)?

A (1 866൧൫7 5) 1 28/3 64)6 7
C)(1 8)2 36 45 7) 5086 6457)
-13-