Home
Class 12
MATHS
Express the following matrices as sum o...

Express the following matrices as sum of a symmetric and a skew symmetric matrix
` [(3,2,5),(4,1,3),(0,6,7)]`

Text Solution

Verified by Experts

The correct Answer is:
`[(3,3,5//2),(3,1,9//2),(5//2,9//2,7)] + [(0,-1,5//2),(1,0,-3//2),(-5//2,3//2,0)]`
Promotional Banner

Topper's Solved these Questions

  • MATRICES

    BETTER CHOICE PUBLICATION|Exercise Previous years Board Questions for practice (M.C.Q)|15 Videos

  • MATRICES

    BETTER CHOICE PUBLICATION|Exercise Previous years Board Questions for practice |69 Videos

  • MATRICES

    BETTER CHOICE PUBLICATION|Exercise Assignment (Section IV) Short answer type questions |19 Videos

  • LINEAR PROGRAMMING

    BETTER CHOICE PUBLICATION|Exercise Previous Years Board.s Questions For Practice|10 Videos

  • PROBABILITY

    BETTER CHOICE PUBLICATION|Exercise Previous year Board.s questions for practice|43 Videos

Similar Questions

Explore conceptually related problems

Express the following matrices as the sum of a symmetric and a skew symmetric matrix :

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

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

Express the following matrices as the sum of a symmetric and a skew symmetric matrix: : [[1,5],[-1,2]]

Express the following matrices as the sum of a symmetric and a skew symmetric matrix : (ii) [{:(5,1),(7,0):}] (iii) [{:(2,1),(3,0):}]

Express the following matrices as the sum of a symmetric and a skew symmetric matrix: : [[6,-2,2],[-2,3,-1],[2,-1,3]]

Express the following matrices as the sum of a symmetric and a skew symmetric matrix: : [[3,3,-1],[-2,-2,1],[-4,-5,2]]

Express the following matrices as the sum of a symmetric and skew-symmetric matrix. [[2,-2,4],[-1,3,4],[1,-2,-3]]