Home
Class 12
MATHS
The inverse of a symmetric matrix is :...

The inverse of a symmetric matrix is :

A

a symmertic martix

B

a skew -symmetric matrix

C

a diagonal matrix

D

None of these

Text Solution

Verified by Experts

The correct Answer is:
A
Promotional Banner

Topper's Solved these Questions

  • MATRICES

    MODERN PUBLICATION|Exercise LATEST QUESTIONS FROM AIEEE/JEE EXAMINATIONS|13 Videos

  • MATRICES

    MODERN PUBLICATION|Exercise QUESTIONS FROM KARNATAKA CET & COMED|13 Videos

  • MATHEMATICAL REASONING

    MODERN PUBLICATION|Exercise QUESTIONS FROM KARNATAKA CET & COMED|9 Videos

  • MOCK TEST PAPER -I

    MODERN PUBLICATION|Exercise SELECT THE CORRECT ANSWER|60 Videos

Similar Questions

Explore conceptually related problems

Define a symmetric matrix.

Define a skew-symmetric matrix.

Show that A is a symmetric matrix if A= [ (1,0), (0, -1)]

If A is a symmetric matrix, B is a skew-symmetric matrix, A+B is nonsingular and C=(A+B)^(-1) (A-B) , then prove that (i) C^(T) (A+B) C=A+B (ii) C^(T) (A-B)C=A-B (iii) C^(T)AC=A

If A is a symmetric matrix, B is a skew-symmetric matrix, A+B is nonsingular and C=(A+B)^(-1) (A-B) , then prove that (i) C^(T) (A+B) C=A+B (ii) C^(T) (A-B)C=A-B (iii) C^(T)AC=A

Define a symmetric relation.

For the matrix A=[(1,5),(6,7)] , verify that (i) (A+A') is a symmetric matrix (ii) (A-A') is a skew symmetric matrix

If A= B+C such that B is a symmetric matrix and C is a skew - symmetric matrix , then B is given by :