Home
Class 12
MATHS
Express the matrix [{:(2,3,1),(1,-1,2),(...

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

Text Solution

Verified by Experts

The correct Answer is:
`=[{:(2,3,1),(1,1,2),(4,1,0):}]`
Promotional Banner

Topper's Solved these Questions

  • MATRICES

    KUMAR PRAKASHAN|Exercise Solutions of NCERT Exemplar Problems (Objective type Questions)|15 Videos

  • MATRICES

    KUMAR PRAKASHAN|Exercise Solutions of NCERT Exemplar Problems (Fillers)|14 Videos

  • MATRICES

    KUMAR PRAKASHAN|Exercise Solutions of NCERT Exemplar Problems (Short Answer Type Questions)|48 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

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

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

Express the matrix A= [{:(3,-2,1),(4,0,6),(-1,2,1):}] as the sum of a symmetric and a skew symmetric matrices.

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

Expresss A as the sum of a symmtric and a skew-symmetric matrix, where A=[(3,5),(-1,2)]

Express the following matrices as the sum of a symmetric and a skew symmetric matrix : (i) [{:(3,5),(1,-1):}] (ii) [{:(6,-2,2),(-2,3,-1),(2,-1,3):}] (iii) [{:(3,3,-1),(-2,-2,1),(-4,-5,2):}] (iv) [{:(1,5),(-1,2):}]

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

The matrix A=[{:(1,0,0),(0,2,0),(0,0,4):}] is a .......

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