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

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

    NCERT GUJARATI|Exercise EXERCISE 3.4|18 Videos
  • MATRICES

    NCERT GUJARATI|Exercise Miscellaneous Exercise on Chapter 3|15 Videos
  • MATRICES

    NCERT GUJARATI|Exercise EXERCISE 3.2|22 Videos
  • LINEAR PROGRAMMING

    NCERT GUJARATI|Exercise MISCELLANEOUS EXERCISE|6 Videos
  • PROBABILITY

    NCERT GUJARATI|Exercise MISCELLANEOUS EXERCISE ON CHAPTER 13|18 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 is skew symmetric matrix , then A^(2) is a 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 …….

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

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

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

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

If A is a square matrix then A - A' is a …… matrix.