Home
Class 12
MATHS
Express the following matrices as the su...

Express the following matrices as the sum of a symmetric and a skew symmetric matrix:
`(i) [(3,5),(1,-1)]

Text Solution

Verified by Experts

The correct Answer is:
(i) `A=[(3,3),(3,-1)]+[(0,2),(-2,0)]`
(ii) `A=[(6,-2,2),(-2,3,-1),(2,-1,3)]+[(0,0,0),(0,0,0),(0,0,0)]`
(iii) `A=[(3,(1)/(2),(-5)/(2)),((1)/(2),-2,-2),((-5)/(2),-2,2)]+[(0,(5)/(2),(3)/(2)),((-5)/(2),0,3),((-3)/(2),-3,0)] (iv)A=[(1,2),(2,2)]+[(0,3),(-3,0)]`
Promotional Banner

Topper's Solved these Questions

  • MATRICES

    NCERT TELUGU|Exercise EXERCISE 3.4|18 Videos

  • MATRICES

    NCERT TELUGU|Exercise Miscellaneous Exercise on Chapter 3|15 Videos

  • MATRICES

    NCERT TELUGU|Exercise EXERCISE 3.2|22 Videos

  • LINEAR PROGRAMMING

    NCERT TELUGU|Exercise EXERCISE 12.1 (SOLVE THE FOLLOWING LINEAR PROGRAMMING PROBLEMS GRAPHICALLY:)|6 Videos

  • PROBABILITY

    NCERT TELUGU|Exercise MISCELLANEOUS EXERCISE ON CHAPTER 13|19 Videos

Similar Questions

Explore conceptually related problems

Define Trace of a matrix and skew symmetric matrix.

If a matrix A is both symmetric and skew symmetric then A is

A is a symmetric matrix or skew symmetric matrix. Then A^(2) is

Express A=[(2,0,-3),(4,3,1),(-5,7,2)] as a sum of a symmetric and a skew symmetric matrix

Express the matrix B=[(2,-2,-4),(-1,3,4),(1,-2,-3)] as the sum of a symmetric and a skew symmetric matrix.

Define symmetric and skew symmetric matrix and give an example to each.

Express the following in the form a + ib (1-i)^3 (1- i)