Home
Class 12
MATHS
If [{:(3,1,-1),(0,1,2):}] then AA ' is ...

If `[{:(3,1,-1),(0,1,2):}]` then AA ' is a ……… matrix.

A

Symmetric

B

Skew symmetric

C

Orthogonal

D

None of these

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

Express the matrix [{:(2,3,1),(1,-1,2),(4,1,2):}] as the sum of a symmetric and a skew symmetric matrix.

If A=[{:(1,0,-1),(2,1,3),(0,1,1):}] , then verify that A^(2)+A=A(A+I) where I is 3xx3 unit matrix.

A=[{:(1,4),(3,2),(2,5):}]andB=[{:(-1,2),(0,5),(3,1):}] then find the matrix X. where A+B-X=0.0 is a zero matrix.

Express the matrix A= [{:(3,-2,1),(4,0,6),(-1,2,1):}] as the sum of a symmetric and a skew symmetric matrices.

If A=[{:(1,2,3),(2,3,1):}]andB=[{:(3,-1,3),(-1,0,2):}] , then find 2A-B .

If A=[{:(1,0,1),(0,1,2),(0,0,4):}] then show that [3A]=27[A]

Express the matrix A=[{:(3,3,-1),(-2,-2,1),(-4,-5,2):}] as the sum of a symmetric and a skew symmetric matrix .

If the maxtrix [{:(0,a,3),(2,b,-1),(c,1,0):}] is a skew symmetric matrix , find the values of a,b,andc.

If A = [{:(0,1,2),(1,2,3),(3,1,1):}] and inverse of A is (1)/(2) [{:(1,-1,1),(-8,6, -2),(x, -3, 1):}] then x = _______________.

KUMAR PRAKASHAN-MATRICES -TEXTBOOK BASED MCQS
  1. If [{:(3,1,-1),(0,1,2):}] then AA ' is a ……… matrix.

    Text Solution

    |

  2. If a matricx [{:(0,2beta,gamma),(alpha,beta,-gamma),(alpha,-beta,gamma...

    Text Solution

    |

  3. If A=[{:(1,0,0),(0,1,0),(0,0,1):}] then A^(2)+2A= ……….

    Text Solution

    |

  4. If A=[{:(2,-1),(2,1):}],B=[{:(a,1),(b,-1):}]and(A+B)^(2)=A^(2)+B^(2)+2...

    Text Solution

    |

  5. If A=[{:(i,0),(0,i):}], n inN then A^(4n)=...... (where I is imaginar...

    Text Solution

    |

  6. U=[2" "-3" "4],V=[{:(3),(2),(1):}] X=[0" "2" "3]and Y=[{:(2),(2),(4)...

    Text Solution

    |

  7. If A is a square matrix then A - A' is a …… matrix.

    Text Solution

    |

  8. For matrices A and B, A +B and AB are difined then ……

    Text Solution

    |

  9. If A=[a" "b],B=[-b" "-a]andC=[{:(a),(-a):}] then out of the following...

    Text Solution

    |

  10. If A(x)=[{:(cosx,-sinx),(sinx,cosx):}] then A((pi)/(2)).A(pi)= ………

    Text Solution

    |

  11. If A=[{:(1,1),(1,1):}] then A^(100) ………

    Text Solution

    |

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

    Text Solution

    |

  13. Out of the following which statement is false ?

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |