Home
Class 12
MATHS
Let A and B two symmetric matrices of or...

Let A and B two symmetric matrices of order 3.
Statement 1 : `A(BA)` and `(AB)A` are symmetric matrices.
Statement 2 : `AB` is symmetric matrix if matrix multiplication of A with B is commutative.

A

Statement-1 is true, Statement-2 is true and Statement-2 is a correct explantion for Statement-1.

B

Statement-1is true, Statement-2 is true and Statement-2 is true, Statement-2 is not correct explantion for Statement-1.

C

Statement-1 is true, Statement-2 is false.

D

Statement-1 is false, Statement-2 is true

Text Solution

Verified by Experts

The correct Answer is:
B
Promotional Banner

Topper's Solved these Questions

  • MATRICES & DETERMINANT

    RESONANCE ENGLISH|Exercise HLP|34 Videos

  • MATRICES & DETERMINANT

    RESONANCE ENGLISH|Exercise EXERCISE-3|31 Videos

  • INDEFINITE INTEGRATION

    RESONANCE ENGLISH|Exercise SELF PRACTIC PROBLEMS|25 Videos

  • NUMBER THEORY

    RESONANCE ENGLISH|Exercise Exercise -2 (PART - II)|4 Videos

Similar Questions

Explore conceptually related problems

If A and B are symmetric matrices, prove that AB – BA is a skew symmetric matrix.

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

If A and B are symmetric matrices of same order, then AB - BA is a

If A and B are symmetric matrices, then ABA is

Let A and B be symmetric matrices of same order. Then AB-BA is a skew symmetric matrix

If A and B are symmetric matrices of same order, then AB-BA is a

If A and B are symmetric matrices of same order, then AB-BA is

Let A and B be two symmetric matrices. prove that AB=BA if and only if AB is a symmetric matrix.

if A and B are symmetric matrices of same order then (AB-BA) is :

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

RESONANCE ENGLISH-MATRICES & DETERMINANT-PART-II:
  1. Let a be a 2xx2 matrix with non-zero entries and let A^(2)=I, where I ...

    Text Solution

    |

  2. consider the system of linear equations x(1)+2x(2)+x(3)=3 2x(1)...

    Text Solution

    |

  3. Let A and B two symmetric matrices of order 3. Statement 1 : A(BA) a...

    Text Solution

    |

  4. The number of values of k for which the linear equations 4x+ky+2...

    Text Solution

    |

  5. If omega^3=1 is the complex cube root of unity and matrix H=|{:(,omega...

    Text Solution

    |

  6. If the trivial solution is the only solution of the system of equation...

    Text Solution

    |

  7. Statement -1 : Determinant of a skew-symmetric matrix of order 3 is ze...

    Text Solution

    |

  8. Let A=((1,0,0),(2,1,0),(3,2,1)). If u(1) and u(2) are column matrices ...

    Text Solution

    |

  9. Let P and Q be 3xx3 matrices P ne Q. If P^(3)=Q^(3) and P^(2)Q=Q^(2)P,...

    Text Solution

    |

  10. The number of values of k for which the system of equations (k+1)x+8y=...

    Text Solution

    |

  11. IF P=[(1,alpha,3),(1,3,3),(2,4,4)] is the adjoint of 3xx3 matrix A and...

    Text Solution

    |

  12. if alpha, beta , ne 0 " and " f(n) =alpha^(n)+beta^(n) " and " |{:(...

    Text Solution

    |

  13. If A is an 3xx3 non-singular matrix such that A A^'=A^' A and B""=""...

    Text Solution

    |

  14. If A=[(1,2,2),(2,1,-2),(a,2,b)] is a matrix satisying the equation A A...

    Text Solution

    |

  15. The set of all values of lambda for which the system of linear equ...

    Text Solution

    |

  16. The system of linear equations x+lambday-z=0, lambdax-y-z=0, x+y-lam...

    Text Solution

    |

  17. If A=[(5a,-b),(3,2)] and A adj A=A A^(T), then 5a+b is equal to

    Text Solution

    |

  18. If S is the set of distinct values of 'b' for which the following ...

    Text Solution

    |

  19. If A=|{:(,2,-3),(,-4,1):}| then adj (3A^(2)+12A) is equal to

    Text Solution

    |

  20. If the system of linear equations. x+ky+3z=0 3x+ky-2z=0 2x+4y...

    Text Solution

    |