Home
Class 12
MATHS
The element a(ij) of square matrix is gi...

The element `a_(ij)` of square matrix is given by `a_(ij)=(i+j)(i-j)` then matrix A must be

A

Skew-symmetric matrix

B

Triangular matrix

C

Symmetric matrix

D

Null matrix

Text Solution

Verified by Experts

The correct Answer is:
A
Promotional Banner

Topper's Solved these Questions

  • MATRICES

    DISHA PUBLICATION|Exercise Exercise 2: Concept Applicator|30 Videos

  • MATRICES

    DISHA PUBLICATION|Exercise Exercise 1: Concept Builder (Topic 2)|23 Videos

  • MATHEMATICAL REASONING

    DISHA PUBLICATION|Exercise Exercise-2 : Concept Applicator|30 Videos

  • PRINCIPLE OF MATHEMATICAL INDUCTION

    DISHA PUBLICATION|Exercise Exercise-2 Concept Applicator|20 Videos

Similar Questions

Explore conceptually related problems

The square matrix A=[a_(ij)" given by "a_(ij)=(i-j)^3 , is a

If A is a square matrix for which a_(ij)=i^(2)-j^(2) , then matrix A is

The elements a_(ij) of a 3xx3 matrix are given by a_(ij)=(1)/(2)|-3i+j|. Write the value of element a_(32)

The elements a_(ij) of a 2xx2 matrix are given by a_(ij) = (1)/(4) |-3 i + j| . Then, the value of element a_(21) is:

If the elements of a matrix are given by [a_(ij)]_(3times3) = i^2 - j , then |A|=?

"In a square matrix "A=a_(ij)" if i>j then "a_(ij)=0" then the Matrix A is"

In square matrix A=(a_(ij)) if i lt j and a_(ij)=0 then A is

For 2x3 matrix A=[a_(ij)] whose elements are given by a_(ij)=((i+j)^(2))/(2) then A is equal to

" In a square matrix "A=[a_(ij)]" ,if "i>j" and "a_(ij)=0" then that matrix 'A' is an "

DISHA PUBLICATION-MATRICES-Exercise 1: Concept Builder (Topic 3)
  1. If A=[(cosx,-sinx),(sinx,cosx)], then AA^(T) is

    Text Solution

    |

  2. If A is symmetric as well as skew-symmetric matrix, then A is

    Text Solution

    |

  3. Which of the following is correct?

    Text Solution

    |

  4. The element a(ij) of square matrix is given by a(ij)=(i+j)(i-j) then m...

    Text Solution

    |

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

    Text Solution

    |

  6. Consider the matrix A=[(4,1),(1,5)] on applying elementary row operati...

    Text Solution

    |

  7. if A and B are matrices of same order, then (AB'-BA') is a 1) null mat...

    Text Solution

    |

  8. If A^2-A +I = 0, then the inverse of A is: (A) A+I (B) A (C) ...

    Text Solution

    |

  9. For any square matrix A,A A^(T) is a

    Text Solution

    |

  10. Which one of the following is wrong?

    Text Solution

    |

  11. If A is a 3xx3 matrix and B is a matrix such that A^TB and BA^(T) are ...

    Text Solution

    |

  12. h1. If C is skew-symmetric matrix of order n and X is nxx1 column matr...

    Text Solution

    |

  13. If A is a 3xx3 skew-symmetric matrix, then trace of A is equal to -1 b...

    Text Solution

    |

  14. Orthogonal matrix

    Text Solution

    |

  15. A = [[2,-1],[-7,4]] & B =[[4,1],[7,2]] then B^TA^T is :

    Text Solution

    |

  16. If {:A=[(costheta,-sintheta),(sintheta,costheta)]:},"then" A^T+A=I2, i...

    Text Solution

    |

  17. Using elementary row transformations, find the inverse of the matrix A...

    Text Solution

    |

  18. Consider the matrices A=[(4,6,-1),(3,0,2),(1,-2,5)], B=[(2,4),(0,1),...

    Text Solution

    |

  19. If A=[(2,1),(0,x)] and A^(-1)=[(1/2,1/6),(0,1/x)], then the value of x...

    Text Solution

    |

  20. If P is a two-rowed matrix satisfying P' = P^(-1), then P can be

    Text Solution

    |