Home
Class 12
MATHS
If A and B are symmetric matrices, then ...

If A and B are symmetric matrices, then ABA is

A

symmetric matrix

B

skew-symmetric matrix

C

diagonal matrix

D

scalar matrix

Text Solution

Verified by Experts

The correct Answer is:
A
Promotional Banner

Topper's Solved these Questions

  • MATRICES

    ARIHANT MATHS|Exercise Exercise For Session 3|16 Videos

  • MATRICES

    ARIHANT MATHS|Exercise Exercise For Session 4|9 Videos

  • MATRICES

    ARIHANT MATHS|Exercise Exercise For Session 1|9 Videos

  • MATHEMATICAL INDUCTION

    ARIHANT MATHS|Exercise Exercise (Questions Asked In Previous 13 Years Exam)|2 Videos

  • MONOTONICITY MAXIMA AND MINIMA

    ARIHANT MATHS|Exercise Exercise (Questions Asked In Previous 13 Years Exam)|31 Videos

Similar Questions

Explore conceptually related problems

If A and B are symmetric matrices then AB-BA is a Symmetric Matrix (b) Skewl symmetric matrix Diagonal matrix (d) Null matrix

Assertion (A) : If A and B are symmetric matrices, then AB - BA is a skew symmetric matrix Reason (R) : (AB)' = B' A'

If A and B are symmetric matrices, then (i) AB-BA is a .......... (ii) BA-2AB is a.............

If A and B are symmetric matrices,then write the condition for which AB is also symmetric.

If A and B are symmetric matrices,then show that AB is symmetric iff AB=BA i.e.A and B commute.

If A and B are symmetric matrices of the same order then (A) A-B is skew symmetric (B) A+B is symmetric (C) AB-BA is skew symmetric (D) AB+BA is symmetric

If A and B are symmetric matrices,prove that ABBA is a skew symmetric matrix.

If A and B are symmetric matrices of the same order, show that AB+BA is symmetric.

If A and B are symmetric matrices of the same order,write whether AB-BA is symmetric or skew-symmetric or neither of the two.

If A and B are symmetric matrices of the same order,write whether AB-BA is symmetric or skew-symmetric or neither of the two.

ARIHANT MATHS-MATRICES -Exercise For Session 2
  1. If {:A=[(4,x+2),(2x-3,x+1)]:} is symmetric, then x =

    Text Solution

    |

  2. If A and B are symmetric matrices, then ABA is

    Text Solution

    |

  3. if A and B are symmetric matrices of the same order and P=AB+BA and Q...

    Text Solution

    |

  4. If A is a skew-symmetric matrix and n is odd positive integer, then A^...

    Text Solution

    |

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

    Text Solution

    |

  6. If A is square matrix order 3, then |(A - A')^2015| is

    Text Solution

    |

  7. the maximum number of different elements requried to from a symmetric...

    Text Solution

    |

  8. A and B are square matrices of order 3xx3 , A is an orthogonal matrix ...

    Text Solution

    |

  9. the matrix A=[(i,1-2i),(-1-2i,0)], where I = sqrt-1, is

    Text Solution

    |

  10. if A and B are square matrices of same order such that A = and B = B,...

    Text Solution

    |

  11. if matrix A=(1)/sqrt2[(1,i),(-i,a)], i=sqrt-1 is unitary matrix, a is ...

    Text Solution

    |

  12. If A is a 3x3 matrix and det (3A) = k {det(A)} , k is equal to

    Text Solution

    |

  13. If A and B are square matrices of order 3 such that absA=-1,absB=3," t...

    Text Solution

    |

  14. if A is a square matrix such that A^(2)=A, then det (A) is equal to

    Text Solution

    |

  15. If I is a unit matrix of order 10, then the determinant of I is equal ...

    Text Solution

    |

  16. If A(i)= [(2^(-i),3^(-i)),(3^(-i),2^(-i))],then sum(i=1)^(oo) det (A(i...

    Text Solution

    |

  17. The number of values of x for which the matrix A=[(3-x,2,2),(2,4-x,1),...

    Text Solution

    |

  18. For how many values of 'x' in the closed interval [-4,-1] is the matri...

    Text Solution

    |

  19. The value of x for which the matrix |(-x,x,2),(2,x,-x),(x,-2,-x)| will...

    Text Solution

    |