Home
Class 10
MATHS
What is the value of trace of the follo...

What is the value of trace of the following matrix ? `A = [(2,3,4),(7,8,10),(0,0,3)]`

A

10

B

8

C

3

D

13

Text Solution

Verified by Experts

The correct Answer is:
D
Promotional Banner

Topper's Solved these Questions

  • MATRICES

    CENGAGE|Exercise Test yourself (Level 3) |3 Videos
  • HEIGHTS AND DISTANCES

    CENGAGE|Exercise OLYMPIAD AND NTSE LEVEL EXERCISES|10 Videos
  • PERMUTATIONS AND COMBINATIONS

    CENGAGE|Exercise TEST YOURSELF (Multiple Choice Questions) OLYMPIAD AND NTSE LEVEL EXERCISES|10 Videos

Similar Questions

Explore conceptually related problems

Using elementary transformations, find the inverse of the following matrix [(2,-1,4),(4,0,2),(3,-2,7)]

The trace of the matrix A = [{:(1, - 5, 7),(0, 7 , 9),(11, 8, 9):}] is

Find the order of the matrix [{:(1,2,3,4,5,6,7),(5,6,7,8,4,5,6),(9,10,11,0,10,9,11):}]

" (b) Find the rank of the matrix : "A=[[2,1,4,7],[3,6,2,1],[0,0,1,5]]

What must be the matrix X if 2X + [(1,2),(3,4)] = [(3,8),(7,2)] ?

(a) Find the rank of the matrix [[2,1,4,7],[3,6,2,1],[0,0,1,5]]

If the trace of the matrix A= [{:( x-1 ,0,2,5),( 3, x^(2) - 2 ,4,1),( -1,-2,x-3,1),(2,0,4,x^(2)-6) :}] is 0 then x is equal to

CENGAGE-MATRICES-Test yourself (Level 3) Multiple choice questions
  1. Which of the following is an upper triangular matrix ?

    Text Solution

    |

  2. Which of the following is a diagonal matrix ?

    Text Solution

    |

  3. What is the value of trace of the following matrix ? A = [(2,3,4),(7...

    Text Solution

    |

  4. A 2 xx 3 matrix A = [ a(ij)], whose elements are given by a(ij) = ((1...

    Text Solution

    |

  5. Which of the following is represented by c = diag (3,5,7)?

    Text Solution

    |

  6. Transpose of the matrix A = [(2,3,4),(5,6,7)](2xx3) is

    Text Solution

    |

  7. if [(2 alpha + 1, 3 beta),(0,beta^(2)- 5 beta)]= [(alpha + 3, beta^(2)...

    Text Solution

    |

  8. Given =A [(1,3,5),(-2,0,-2),(0,4,-3)]B = [(0,3),(-2,0),(0,4)]C = [(4,...

    Text Solution

    |

  9. If A = [(0,2),(3,-4)] and kA = [(0,3a),(2b,24)] then find the value of...

    Text Solution

    |

  10. Given A = [(1,2,-3),(5,0,2),(1,-1,1)] and B - [(3,-1,2),(4,2,5),(2,0,...

    Text Solution

    |

  11. The value of x and y for the equation 2 x - y = [(3,-3,0),(3,3,2)]...

    Text Solution

    |

  12. If A = [(0,1,2),(1,2,3),(2,3,4)] and B = [(1,-2),(-1,0),(2,-1)] then ...

    Text Solution

    |

  13. If A = [(0,1,I2),(1,2,3),(2,3,4)] and B = [(1,-2),(-1,0),(2,-1)] , the...

    Text Solution

    |

  14. If A = [(1,2),(-2,3)] , B = [(2,1),(2,3)]C = [(-3,1),(2,0)] , then w...

    Text Solution

    |

  15. If A = [(alpha,2),(2 , alpha)] and det (A) = 0 then the value of alph...

    Text Solution

    |

  16. If A = [(1,-1),(2,-1)] , B = [(a,1),(b,-1)] and (A + B)^(2) = A^(2) + ...

    Text Solution

    |

  17. If A = [(1,2),(2,3)] and A ^(2) + lambda A - I(2) = 0 " then " lambd...

    Text Solution

    |

  18. If A [ (cos theta, sin theta),(-sin theta, cos theta)], " then " A^(2)...

    Text Solution

    |

  19. If a, b, b, c and c, a are the roots of x^(2) - 4x + 3 = 0 , x^(2) - 8...

    Text Solution

    |

  20. If a = [(cos theta , - sin theta),(sin theta , cos theta)] , what is ...

    Text Solution

    |