Home
Class 12
MATHS
For the matrix A=[{:(1,5),(6,7):}],verif...

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.

Promotional Banner

Topper's Solved these Questions

  • MATRICES

    KUMAR PRAKASHAN|Exercise EXERCISE -3.4|18 Videos

  • MATRICES

    KUMAR PRAKASHAN|Exercise MISCELLANEOUS EXERCISE -3|15 Videos

  • MATRICES

    KUMAR PRAKASHAN|Exercise EXERCISE -3.2|22 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

If A is skew symmetric matrix , then A^(2) is a symmetric matrix .

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

Prove that if A is a square matrix then ,(i) (A+A') is a symmetric metrix. (ii) (A-A') is a skew symmetric matrix.

If A is symmetric matrix , then B'AB is …….

If A is skew -symmetric 3xx3 matrix , |A| =……..

A A' is always a symmetric matrix for any matrix A .

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

If a matrix A is a symmetric matrix then show that A^(n) is also a symmetric matrix . Where n in N .

If the matrix A is both symmetric and skew symmetric ,then ……..