## 09 Nov Answers

**-:15 questions on Real Analysis for NET and GATE aspirants:-**

The answers:

- D , 2. A , 3. C , 4. B , 5. B , 6. C , 7. C , 8. D , 9. B , 10. C , 11. , 12. A , 13. C , 14. A , 15. C.

**-:50 questions on linear algebra for NET and GATE aspirants:-**

The answers:

1) c , 2) d , 3) c , 4) c , 5) c, 6) b, 7) c, 8) b, 9) b, 10) c , 11) b, 12) d , 13) d , 14) d , 15) d, 16) d , 17) b, 18) d, 19) c , 20) a & c, 21) a , 22) c , 23) a , 24) c , 25) b, c & d, 26) b & d, 27) a, b & c , 28) d, 29) b, 30) b, 31) b, 32) d, 33) d, 34) a, 35) b, 36) a, 37) c, 38) a, 39) a, b, c & d, 40) d, 41) b, 42) b, 43) d, 44) a, 45) b, 46) d, 47) c, 48) d, 49) d, 50) d

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## shomavo chakraborty

Posted at 08:38h, 19 Marchi think for QNo 36 option (c) is also correct

## Aditya

Posted at 22:13h, 20 DecemberFirst find the eigen values of A and A^2.Then think about option “C”.I hope u got the idea.

## kapil

Posted at 18:18h, 23 Augusti think in que.13 matrix is invertible,because |A|!=0.

## Aditya

Posted at 22:05h, 20 DecemberYes, U

absolutely right.

## omi

Posted at 10:16h, 18 NovemberI think for question number 2 , the right answer is b.

## Gonit Sora

Posted at 18:19h, 31 DecemberFor which set?

## Aditya

Posted at 22:08h, 20 DecemberNo, because identity is not n appropriate ans.

## Ravi Bari

Posted at 12:51h, 13 AprilIn Q27, only a and c are correct.

a and c both say T is nilpotent and this implies that all eigen values are 0. So b can’t be true.

## Ravi Bari

Posted at 12:56h, 13 AprilIn Q29, I think b is not correct answer.

Take matrix A with (1,1) entry as 1, and 0 everywhere then this matrix is of Rank 1 but this is not nilpotent.

## Nikita

Posted at 15:13h, 17 JanuaryA 2*2 matrix with rank 1 is either diagonalizable or nilpotent but not both..so no option is correct

## gaydharsh

Posted at 06:06h, 10 Augustkindly send me explanation for the above mcqs

## Ritu

Posted at 09:29h, 20 MayI think for qustn no. 13 only option a is correct

## Nikita

Posted at 15:15h, 17 Januaryright

## Kanika Rathore

Posted at 07:04h, 30 Julycan you provide the explanation for these questions

## Trushit

Posted at 13:28h, 30 SeptemberAnswer 44 is a and c. plz check

## Nikita

Posted at 15:16h, 17 JanuaryThe case U=W is not always true so only correct option is a

## Nisha K N

Posted at 07:18h, 09 MarchAnyone kindly explain question 3