Home
Class 12
MATHS
A is 2xx2 symmetric such that trace of A...

A is `2xx2` symmetric such that trace of `A^2` is 1.How many such matrices are possible with integer entries ?

A

4

B

1

C

6

D

12

Text Solution

Verified by Experts

The correct Answer is:
A
Promotional Banner

Topper's Solved these Questions

  • JEE MAIN 2021

    JEE MAINS PREVIOUS YEAR|Exercise SECTION-B|50 Videos
  • JEE MAIN 2021

    JEE MAINS PREVIOUS YEAR|Exercise (SECTION - A)|20 Videos
  • JEE MAIN 2021

    JEE MAINS PREVIOUS YEAR|Exercise Mathematic section B|10 Videos
  • JEE MAIN

    JEE MAINS PREVIOUS YEAR|Exercise QUESTION|1 Videos
  • JEE MAIN 2022

    JEE MAINS PREVIOUS YEAR|Exercise Question|454 Videos

Similar Questions

Explore conceptually related problems

How many matrices of order 2 x 2 are possible with entry 2 × 2.

How many isomers are possible in [Cr(en)_(2)Br_(2)] ?

How many isomers are possible in [Cr(en)_(2)Br_(2)] ?

How many orbitals are possible for n = 3.1=2 ?

How many isomers are possible for 2- methylpropane?

How many isomers are possible in [Co(en)_(2)Cl_(2)] ?

How many orbitals are possible for n = 2 and l = 1?

The trace of a square matrix is defined to be the sum of its diagonal entries . If A is 2xx2 matrix such that the trace of A is 3 and the trace of A^(3) is -18 , then the value of the determinant of A is ….

Let a matrix M of order 3xx3 has elements from the set {0,1,2}. How many matrices are possible whose sum of diagonal elements is 7 of matrix M^T*M

How many symmetric matrices of order 3 using 1,0.-1 only

JEE MAINS PREVIOUS YEAR-JEE MAIN 2021-SECTION-A
  1. If the vectors veca and vecb are mutually perpendicular, then veca xx ...

    Text Solution

    |

  2. A fair coin is tossed fixed times. The probability of getting 7 heads ...

    Text Solution

    |

  3. A is 2xx2 symmetric such that trace of A^2 is 1.How many such matrices...

    Text Solution

    |

  4. In a increasing geometric series, the sum of the second and the sixth ...

    Text Solution

    |

  5. The value of sum(n=1)^100 int(n-1)^n e^(x-[x])dx =

    Text Solution

    |

  6. In the circle given below . Let OA = 1 unit , OB = 13 unit and...

    Text Solution

    |

  7. Sum of series 1+2/3+7/3^2+12/3^3 + . . . . . oo

    Text Solution

    |

  8. lim(hrarr0)2((sqrt3Sin(h+pi/6)-Cos(h+pi/6))/(h(sqrt3Cosh-Sinh)))

    Text Solution

    |

  9. Find maximum value of term independent of "t" in (tx^(1/5) + (1-x)^(1/...

    Text Solution

    |

  10. Growth of bacteria is directly proportional to number of bacteria . At...

    Text Solution

    |

  11. If (1,5,35 ),( 7,5,5),( 1, lamda ,7) and ( 2 lamda ,1,2) are coplan...

    Text Solution

    |

  12. Sin^-1x/a=Cos^-1x/b=tan^-1y/c value of cos((pic)/(a+b))

    Text Solution

    |

  13. The number of seven digit integers, with sum of the digits equal to 10...

    Text Solution

    |

  14. Let f be any function defined on R and let it satisfy the condition : ...

    Text Solution

    |

  15. y=1/2x^4-5x^3+18x^2-19x what will be max. value of slope at

    Text Solution

    |

  16. The intersection of three lines x-y=0 ,x +2y =3 and 2x +y=6 ...

    Text Solution

    |

  17. Consider the three planes P1 :3x +15 y +21 z=9, P2 :x - 3y ...

    Text Solution

    |

  18. The value of |((a+1)(a+2),a+2,1),((a+2)(a+3),a+3,1),((a+3)(a+4),a+4,1...

    Text Solution

    |

  19. The value of int(- pi//2) ^(pi//2) ( cos^2 x)/( 1+3^x ) dx is

    Text Solution

    |

  20. Let P(x,y) be a point which is a constant distance from the origin. Th...

    Text Solution

    |