Home
Class 12
MATHS
If a and B are non-singular symmetric ma...

If a and B are non-singular symmetric matrices such that `AB=BA`, then prove that `A^(-1) B^(-1)` is symmetric matrix.

Promotional Banner

Topper's Solved these Questions

  • MATRICES

    FIITJEE|Exercise ASSIGNMENT PROBLEM (SUBJECTIVE) (Level-II)|13 Videos
  • MATRICES

    FIITJEE|Exercise ASSIGNMENT PROBLEM (OBJECTIVE) (Level-I)|49 Videos
  • MATRICES

    FIITJEE|Exercise SOLVED PROBLEM|32 Videos
  • MATHEMATICS TIPS

    FIITJEE|Exercise NUMERICAL DECIMAL BASED QUESTIONS|21 Videos
  • PARABOLA

    FIITJEE|Exercise NUMERICAL BASED|5 Videos

Similar Questions

Explore conceptually related problems

If A and B are non-singular matrices such that B^(-1)AB=A^(3), then B^(-3)AB^(3)=

If AB are symmetric matrices of same order then show that AB-BA is a skew symmetric matrix.

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 non-singular matrices of same order,AB = BA and A^(-1)B^(-1) exist, prove that A^(-1)B^(-1) is symmetric.

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

Let A and B be symmetric matrices of the same order. Then show that : A+B is a symmetric matrix

If A and B are two symmetric matrix of same order,then show that (AB-BA) is skew symmetric matrix.

If A is non-singular matrix satifying AB-BA=A, then prove that det(B+I)=det(B-I)