Home
Class 14
MATHS
A square matrix [A(ij)] such that a(ij)=...

A square matrix `[A_(ij)]` such that `a_(ij)=0` for `I ne j and a_(ij)=k` where k is a constant for i=j is called.

A

Diagonal matrix but not scalar matrix

B

Scalar matrix

C

Unit matrix

D

None of the above

Text Solution

AI Generated Solution

Promotional Banner

Topper's Solved these Questions

  • MATRIX

    PUNEET DOGRA|Exercise PREV YEAR QUESTIONS|91 Videos
  • LOGARITHM

    PUNEET DOGRA|Exercise PREVIOUS YEAR QUESTIONS|24 Videos
  • PERMUTATION AND COMBINATION

    PUNEET DOGRA|Exercise PREV YEAR QUESTIONS|50 Videos

Similar Questions

Explore conceptually related problems

A square matrix A=[a_(ij)] in which a_(ij)=0 for i!=j and [a]_(ij)=k (constant) for i=j is called a (A) unit matrix (B) scalar matrix (C) null matrix (D) diagonal matrix

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

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

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

Let A=[a_(ij)] be a square matrix of order n such that {:a_(ij)={(0," if i ne j),(i,if i=j):} Statement -2 : The inverse of A is the matrix B=[b_(ij)] such that {:b_(ij)={(0," if i ne j),(1/i,if i=j):} Statement -2 : The inverse of a diagonal matrix is a scalar matrix.

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

A is a 2xx2 matrix, such that A={:[(a_(ij))]:} , where a_(ij)=2i-j+1 . The matrix A is

If A is a square matrix such that a_(ij)=(i+j)(i-j), then for A to be non-singular the order of the matrix can be .

[" A square matrix "A=[a_(ij)]" if "I

PUNEET DOGRA-MATRIX-PREV YEAR QUESTIONS
  1. If the matrix AB is a zero matrix, then which one of the following is ...

    Text Solution

    |

  2. If the sum the matrices [{:(x),(x),(y):}][{:(y),(y),(z):}] and [{:(z),...

    Text Solution

    |

  3. A square matrix [A(ij)] such that a(ij)=0 for I ne j and a(ij)=k where...

    Text Solution

    |

  4. Consider the following statements. I. Every zero matrix is a square ...

    Text Solution

    |

  5. If a matrix A has inverse B and C. then which one of the following is ...

    Text Solution

    |

  6. If A is a square matrix such that A^(2)=l where l is the identity matr...

    Text Solution

    |

  7. What is the order of : [xyz] [{:(a,h,g),(h,b,f),(g,f,c):}][{:(x),(y),(...

    Text Solution

    |

  8. Then sum and product of matrices A and B exist. Which of the following...

    Text Solution

    |

  9. If A=[{:(1,2),(1,1):}] and B = [{:(0,-1),(1,2):}] , then what is the v...

    Text Solution

    |

  10. Consider the following statements with respect to the square matrices ...

    Text Solution

    |

  11. For what value of x does {:(1  {:3 &nbsp {:2:})({:(1,3,0),(3,0,2),(2,0...

    Text Solution

    |

  12. If the matrix A=[{:(2-x,1,1),(1,3-x,0),(-1,-3,-x):}] is singular then ...

    Text Solution

    |

  13. If A=[{:(alpha,0),(1,1)] and B=[{:(1,0),(2,1):}] such that A^(2)=B the...

    Text Solution

    |

  14. If A=[{:(3,1),(0,4):}] and B = [{:(1,1),(0,2):}], then which of the fo...

    Text Solution

    |

  15. If [{:(1,-3,2),(2,-8,5),(4,2, lamda):}] is not an invertible matrix, t...

    Text Solution

    |

  16. Consider the following statements. I. The inverse of the square matr...

    Text Solution

    |

  17. If the matrix A=[{:(alpha, beta),(beta,alpha):}] is such that A^(2)=I,...

    Text Solution

    |

  18. Let A and B matrices of order 3xx3 If AB=0. then which of the followin...

    Text Solution

    |

  19. Consider the following statements in respect of a square matrix A and ...

    Text Solution

    |

  20. If A=[{:(0,1),(-1,0):}] B=[{:(i,0),(0,-i):}] C=[{:(0,-i),(-i,0):}] the...

    Text Solution

    |