Home
Class 12
MATHS
What is the maximum number of different ...

What is the maximum number of different elements required to form a symmetric matrix of order 12 ?

Text Solution

Verified by Experts

Matrix of order 12 require `12xx12=144` elments. 12 elements for `i=j`
`(144-12)/2=66` elements for `I lt j`
`:.` Maximum number of different elements required are `66+12=78`
Promotional Banner

Topper's Solved these Questions

  • MATRICES

    CENGAGE ENGLISH|Exercise CAE 13.1|5 Videos
  • MATRICES

    CENGAGE ENGLISH|Exercise CAE 13.2|6 Videos
  • MATRICES

    CENGAGE ENGLISH|Exercise Single correct Answer|34 Videos
  • MATHMETICAL REASONING

    CENGAGE ENGLISH|Exercise Archives|10 Videos
  • METHODS OF DIFFERENTIATION

    CENGAGE ENGLISH|Exercise Single Correct Answer Type|46 Videos

Similar Questions

Explore conceptually related problems

Find the maximum number of different elements requried to from a symmetric matrx of order 6 is

What is the maximum number of bonds formed by flourine?

The inverse of skew - symmetric matrix of odd order

Let A be a skew-symmetric matrix of even order, then absA

A skew - symmetric matrix of order n has the maximum number of distinct elements equal to 73, then the order of the matrix is

What is the maximum number of atoms in a bcc crystal structure of an element ?

What is the maximum number of atoms in a hcp crystal structure of an element ?

Let A be a square matrix of order n . l = maximum number of different entries if A is a upper triangular matrix. m = minimum number of zeros if A is a triangular matrix. p = minimum number of zeros if A is a diagonal matrix. If l+2m=2p+1 , then n is :

What is the atomic number of the element with the maximum number of unpaired 4p electron.

CENGAGE ENGLISH-MATRICES-ILLUSTRATION
  1. If a matrix has 28 elements, what are the possible orders it can have ...

    Text Solution

    |

  2. Construct a 2xx2 matrix, where (i) a("ij")=((i-2j)^(2))/(2) (ii) a("...

    Text Solution

    |

  3. What is the maximum number of different elements required to form a sy...

    Text Solution

    |

  4. If a square matix a of order three is defined A=[a("ij")] where a("ij"...

    Text Solution

    |

  5. For what values of x and y are the following matrices equal ? A=[(2x...

    Text Solution

    |

  6. For alpha, beta, gamma in R, let A=[(alpha^(2),6,8),(3,beta^(2),9),(...

    Text Solution

    |

  7. Find the values of x for which matrix [(3,-1+x,2),(3,-1,x+2),(x+3,-1,2...

    Text Solution

    |

  8. If A=[(1,2),(3,4),(5,6)] and B=[(-3,-2),(1,-5),(4,3)], then find D=[(p...

    Text Solution

    |

  9. A=[(cos alpha,-sin alpha),(sin alpha,cos alpha)] and A+A^(T)=I, find t...

    Text Solution

    |

  10. Let A be a square matrix. Then prove that (i) A + A^T is a symmetric m...

    Text Solution

    |

  11. If A=[(2,-1),(3,1)] and B=[(1,4),(7,2)] , find 3A-2Bdot

    Text Solution

    |

  12. Find non-zero values of x satisfying the matrix equation: x[(2x,2),(3,...

    Text Solution

    |

  13. Let A+2B=[(1,2,0),(6,-3,3),(-5,3,1)] and 2A-B=[(2,-1,5),(2,-1,6),(0,1,...

    Text Solution

    |

  14. If [(lambda^(2)-2lambda+1,lambda-2),(1-lambda^(2)+3lambda,1-lambda^(2)...

    Text Solution

    |

  15. Prove that every square matrix can be uniquely expressed as the sum of...

    Text Solution

    |

  16. Matrix A ha s m rows and n+ 5 columns; matrix B has m rows and 11 - n ...

    Text Solution

    |

  17. If A=[{:(2,3,-1),(1,4,2):}] and B=[{:(2,3),(4,5),(2,1):}] then AB and ...

    Text Solution

    |

  18. Find the value of x and y that satisfy the equations [(3,-2),(3,0),(2,...

    Text Solution

    |

  19. Find the values of x ,\ \ y\ ,\ z if the matrix A=[0 2y z x y-z x-y z]...

    Text Solution

    |

  20. If A=[costhetasintheta-sinthetacostheta], then prove that A^n=[cosnthe...

    Text Solution

    |