Home
Class 11
MATHS
Express the matrix A=[(1,3,5),(-6,8,3),(...

Express the matrix `A=[(1,3,5),(-6,8,3),(-4,6,5)]` as the sum of a symmetric and a skew - symmetric matrices.

Text Solution

Verified by Experts

The correct Answer is:
Thus A is expressed as the sum of symmetric and skew - symmetric matrices
Promotional Banner

Topper's Solved these Questions

  • SAMPLE PAPER - 2

    FULL MARKS|Exercise PART - II|10 Videos

  • SAMPLE PAPER - 01

    FULL MARKS|Exercise PART - III|16 Videos

  • SAMPLE PAPER - 3

    FULL MARKS|Exercise PART - IV|7 Videos

Similar Questions

Explore conceptually related problems

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

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

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

If A is symmetric as well as skew-symmetric matrix, then A is

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

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

Prove that square matrix can be expressed as the sum of a symmetric matrix and a skew-symmetric matrix.

If matrix A=[(0,1,-1),(4,-3,4),(3,-3,4)]=B+C , where B is symmetric matrix and C is skew-symmetric matrix, then find matrices B and C.

Show that the matrix A=[(1, -1, 5),(-1,2,1),(5,1,3)] is a symmetric matrix.

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