Home
Class 9
MATHS
If all the diagonal elements in a diagon...

If all the diagonal elements in a diagonal matrix is 0, then it is a ________ matrix.

Text Solution

Verified by Experts

The correct Answer is:
null
Promotional Banner

Topper's Solved these Questions

  • MATRICES

    PEARSON IIT JEE FOUNDATION|Exercise SHORT ANSWER TYPE QUESTIONS|9 Videos
  • MATRICES

    PEARSON IIT JEE FOUNDATION|Exercise Essay Type Questions|5 Videos
  • MATRICES

    PEARSON IIT JEE FOUNDATION|Exercise TEST YOUR CONCEPTS VERY SHORT ANSWER TYPE QUESTIONS|1 Videos
  • LOGARITHMS

    PEARSON IIT JEE FOUNDATION|Exercise Level 3 MCQ|15 Videos
  • NUMBER SYSTEMS

    PEARSON IIT JEE FOUNDATION|Exercise Level 3|15 Videos

Similar Questions

Explore conceptually related problems

Square matrix and diagonal matrix

The inverse of a diagonal matrix is a:

The diagonal elements of a skew-symmetric matrix are:

Assertion (A) [(7,0,0),(0,7,0),(0,0,7)] is a scalar matrix Reason (R) : if all the elements of the principal diagonal are equal, it is called a scalar matrix

If A=[(2, 1,-1),(3, 5,2),(1, 6, 1)] , then tr(Aadj(adjA)) is equal to (where, tr (P) denotes the trace of the matrix P i.e. the sum of all the diagonal elements of the matrix P and adj(P) denotes the adjoint of matrix P)

Let Z=[(1,1,3),(5,1,2),(3,1,0)] and P=[(1,0,2),(2,1,0),(3,0,1)] . If Z=PQ^(-1) , where Q is a square matrix of order 3, then the value of Tr((adjQ)P) is equal to (where Tr(A) represents the trace of a matrix A i.e. the sum of all the diagonal elements of the matrix A and adjB represents the adjoint matrix of matrix B)

Consider the matrix A=[(x, 2y,z),(2y,z,x),(z,x,2y)] and A A^(T)=9I. If Tr(A) gt0 and xyz=(1)/(6) , then the vlaue of x^(3)+8y^(3)+z^(3) is equal to (where, Tr(A), I and A^(T) denote the trace of matrix A i.e. the sum of all the principal diagonal elements, the identity matrix of the same order of matrix A and the transpose of matrix A respectively)

If every non diagonal element is zero and every diagonal element is unity. Then that matrix is called

The inverse of a diagonal matrix is a. a diagonal matrix b. a skew symmetric matrix c. a symmetric matrix d. none of these

PEARSON IIT JEE FOUNDATION-MATRICES-TEST YOUR CONCEPTS (VERY SHORT ANSWER TYPE QUESTIONS)
  1. If A={:[(a,p),(b,q),(c,r)]:}, then (A^(T))^(T) = .

    Text Solution

    |

  2. The order of matrix A+B^(T) is 4xx3, then the order of matrix B is .

    Text Solution

    |

  3. If A={:[(3,24),(-4,8)]:}, then check whether it is symmetric matrix or...

    Text Solution

    |

  4. {:[(0,-3),(3,0)]:} is a matrix.

    Text Solution

    |

  5. The product of {:[(1),(2)]:} and {:[(3,4)]:} is .

    Text Solution

    |

  6. The product of {:[(a,b),(c,d)]:}and{:[(x),(y)]:} is .

    Text Solution

    |

  7. The product of {:[(2,-4,4)]:},and{:[(1),(3),(5)]:} is .

    Text Solution

    |

  8. If all the diagonal elements in a diagonal matrix is 0, then it is a ...

    Text Solution

    |

  9. If {:[(2,-1,0),(9,2,4),(6,3,-9)]:}, find (k+l) A.

    Text Solution

    |

  10. If A={:[(2,3),(4,1)]:},B={:[(9,5),(-6,1)]:}andC={:[(2,-6),(-3,1)]:} th...

    Text Solution

    |

  11. If A={:[(1,2),(3,4)]:}andB={:[(5,6),(7,8)]:}, then find 3A+7B.

    Text Solution

    |

  12. If 5{:[(-3,1),(x,2)]:}+{:[(y,4),(3,2)]:}={:[(-15,9),(6,z)]:}, then fin...

    Text Solution

    |

  13. If A={:[(2,-3),(5,7)]:}andB={:[(20,31),(44,53)]:}, then find the matri...

    Text Solution

    |

  14. If A={:[(11,-13),(-13,11)]:}, then find A^(T)= ?

    Text Solution

    |

  15. If A=[a(ij)](2xx3), difined as a(ij)=i^(2)-j+1, then find matrix A.

    Text Solution

    |

  16. If A={:[(5,3,1),(2,9,-11)]:},B={:[(22,31,43),(16,11,44)]:}andC={:[(51,...

    Text Solution

    |

  17. Compute : 2{:[(2,3,4,1),(-5,11,6,7)]:}+5{:[(11,13,-3,4),(5,-3,4,-7)]...

    Text Solution

    |

  18. Find a,p,q and b if A={:[(a-3,6,b-q),(1,5,9)]={:[(0,2p-q,-4),((q-p)/...

    Text Solution

    |

  19. If A, B and C are three matrices of order 3xx4,3xx2andaxx2 respectivel...

    Text Solution

    |

  20. If X and Y are two matrices such that X+Y={:[(4,-3),(5,2)]:}andX-Y={:[...

    Text Solution

    |