Home
Class 12
MATHS
Out of the following which statement is ...

Out of the following which statement is false ?

A

All the diagonal elements of a symmetric matrix are zero.

B

All the diagonal elements of a skew symmetric matrix are zero .

C

For any square matrix A, `(1)/(2)(A+A')` is a symmetric matrix.

D

For any square matrix `A,(1)/(2)(A-A')` is a skew symmetric matrix.

Text Solution

Verified by Experts

The correct Answer is:
A
Promotional Banner

Topper's Solved these Questions

  • MATRICES

    KUMAR PRAKASHAN|Exercise TEXTBOOK ILLUSTRATIONS FOR PRACTICE WORK |28 Videos

  • MATRICES

    KUMAR PRAKASHAN|Exercise Solutions of NCERT Exemplar Problems (Short Answer Type Questions)|48 Videos

  • MATRICES

    KUMAR PRAKASHAN|Exercise PRACTICE WORK |55 Videos

  • LINEAR PROGRAMMING

    KUMAR PRAKASHAN|Exercise PRACTICE WORK|25 Videos

  • PROBABILITY

    KUMAR PRAKASHAN|Exercise Practice Paper - 13 (Section - D (Answer the following questions))|2 Videos

Similar Questions

Explore conceptually related problems

For any vectors vec(a),vec(b) and vec( c ) . Out of the following, which statement is true ?

Which of the following statements is false ?

Which of the following statements is false ?

Out of the following statement which is false?

KUMAR PRAKASHAN-MATRICES -TEXTBOOK BASED MCQS
  1. If A=[{:(1,1),(1,1):}] then A^(100) ………

    Text Solution

    |

  2. Matrix [{:(0,5,-7),(-5,0,11),(7,-11,0):}]is a ..... matrix.

    Text Solution

    |

  3. Out of the following which statement is false ?

    Text Solution

    |

  4. A matrix A has x rows and x+5 column . A matrix B has y rows and 11 -...

    Text Solution

    |

  5. P=[{:((2)/(3),3k,a),(-(1)/(3),-4k,b),((2)/(3),-5k,c):}]If PP^(T)=I and...

    Text Solution

    |

  6. C is a skew symmetric matrix of order n. X is a column matrix of order...

    Text Solution

    |

  7. If A^(2)=A then (I+A)^(4)=.........

    Text Solution

    |

  8. If AB=AandBA=B then A^(2)+B^(2)= ………..

    Text Solution

    |

  9. If A is any square matrix then AA' is a ………. Matrix.

    Text Solution

    |

  10. If A and B are square matrices of same order then (A^(-1)BA)^(n)= ………...

    Text Solution

    |

  11. A=[{:(0,1,2),(1,2,3),(3,a,1):}]and A^(-1)=[{:(1/2,-1/2,1/2),(-4,3,c),(...

    Text Solution

    |

  12. [{:((1)/(25),0),(x,(1)/(25)):}]=[{:(5,0),(-a,5):}]^(-2) then x =………..

    Text Solution

    |

  13. [1" "x" "1][{:(1,3,2),(0,5,1),(0,3,2):}][{:(1),(1),(x):}]=0 then x=……...

    Text Solution

    |

  14. A is a 3xx4 matrix .A matrix B is such that A'B and BA' are defined . ...

    Text Solution

    |

  15. P is a 2xx2 matrix . P'=P^(-1) then P=……..

    Text Solution

    |

  16. A is a 3xx3 matrix , then |3A|=....|A|.

    Text Solution

    |

  17. If A=[a(ij)](nxxn) such that a(ij)=0, for i nej then , A is …….. (a(...

    Text Solution

    |

  18. A=[{:(0,0,-1),(0,-1,0),(-1,0,0):}],the correct statement is ......

    Text Solution

    |

  19. If A is skew -symmetric 3xx3 matrix , |A| =……..

    Text Solution

    |

  20. The system of equations ax+y+z=a-1,x+ay+z=a-1andx+y+az=a-1 does not h...

    Text Solution

    |