Home
Class 12
MATHS
Prove that each diagonal element of a sk...

Prove that each diagonal element of a skew-stmmetric matrix is zero.

Answer

Step by step text solution for Prove that each diagonal element of a skew-stmmetric matrix is zero. by MATHS experts to help you in doubts & scoring excellent marks in Class 12 exams.

Doubtnut Promotions Banner Mobile Dark
|

Topper's Solved these Questions

  • LINEAR PROGRAMMING

    RS AGGARWAL|Exercise SECTION C|11 Videos

  • LINEAR PROGRAMMING

    RS AGGARWAL|Exercise SECTION D|6 Videos

  • LINEAR PROGRAMMING

    RS AGGARWAL|Exercise SECTION A|4 Videos

  • LINEAR DIFFERENTIAL EQUATIONS

    RS AGGARWAL|Exercise Objective Questions|27 Videos

  • MATRICES

    RS AGGARWAL|Exercise Exercise 5F|21 Videos

Similar Questions

Explore conceptually related problems

Prove that diagonal elements of a skew symmetric matrix are all zeroes.

Each diagonal element of a skew symmetric matrix is (A) zero (B) negative (C) positive (D) non real

Knowledge Check

  • The diagonal elements of a skew-symmetric matrix are:

    A
    unequal
    B
    zero
    C
    one
    D
    Insufficient data

  • The inverse of a skew symmetric matrix is

    A
    a symmetric matrix if it exists
    B
    a skew symmetric matrix if it exists
    C
    transpose of the original matrix
    D
    may not exist

    • Similar Questions

    Explore conceptually related problems

    Which one of the following is wrong? 1.The elements on the main diagonal of a symmetric matrix are all zero 2. The elements on the main diagonal of a skew-symmetric matrix are all zero 3. For any square matrix A,(1)/(2)(A+A') is symmetric 4. For any square matrix A,(1)/(2)(A-A') is skew-symmetric

    Show that the elements on the main diagonal of a skew-symmetric matrix are all zero.

    Show that the elements on the main diagonal of a skew-symmetric matrix are all zero.

    Prove that inverse of a skew-symmetric matrix (if it exists) is skew-symmetric.

    Symmetric & Skew metric matrix

    The sum of the principal diagonal elements of a square matrix is called

    Home
    Profile