Home
Class 12
MATHS
Express the matrix A=[{:(2,3),(-1,4):}]a...

Express the matrix `A=[{:(2,3),(-1,4):}]`as the sum of a symmetric matrix and the skew -symmetric matrix ,

Text Solution

Verified by Experts

The correct Answer is:
`[{:(2,1),(1,4):}]+[{:(0,2),(-2,0):}]`
Promotional Banner

Topper's Solved these Questions

  • MATRICES

    ARIHANT PUBLICATION|Exercise QUESTIONS FPR PRACTICE Part IV (Inverse of a Matrix by Elementary Operations (Very Short Answer Type Questions ) |16 Videos
  • MATRICES

    ARIHANT PUBLICATION|Exercise QUESTIONS FPR PRACTICE Part IV (Inverse of a Matrix by Elementary Operations ( Short Answer Type Questions ) |1 Videos
  • MATRICES

    ARIHANT PUBLICATION|Exercise QUESTIONS FPR PRACTICE Part III (Transpose of a Matrix ,Symmetric and Skew -symmetric Matrices (Very Short Answer Type Questions)|14 Videos
  • LINEAR PROGRAMMING

    ARIHANT PUBLICATION|Exercise CHAPTER PRACTICE (Long Answer Type Questions 6 Marks)|18 Videos
  • PROBABILITY

    ARIHANT PUBLICATION|Exercise CHAPTER PRACTICE(LONG ANSWER TYPE QUESTIONS)|17 Videos

Similar Questions

Explore conceptually related problems

Express the matrix A=[{:(2,4,-6),(7,3,5),(1,-2,4):}] as the sum of a symmetric and a skew- symmetric matrices.

Express the matrix A=[{:(3,1),(5,-1):}] as the sum of a symmetric and a skew -symmetric matrices .

Write a 3xx3 skew -symmetric matrix .

Express A=((1,2),(2,3) as the sum of a symmetric and a skew symmetric matrix.

Express the matrix A=[[4,2,-3],[1,3,-6],[-5,0,-7]] as the sum of symmetric and skew symmetric matrix.

Express as a sum of a symmetric and a skew symmetric matrix: [[4,-3],[1,2]]

Express as a sum of a symmetric and a skew symmetric matrix: [[1,5],[7,-3]]

Express as a sum of a symmetric and a skew symmetric matrix: [[0,1],[1,0]]

Express as a sum of a symmetric and a skew symmetric matrix: [[0,x],[-x,0]]