PYQ Vault
EbooksTutor

Is an expression in a symmetric A and a skew-symmetric B symmetric or skew-symmetric?

This type of question, asked 3 times: 2021 Paper 2, 28 Jul 2022, 25 Jan 2023. All 3 questions below, oldest first.

Try each one first, then open its answer.

  1. Question 1

    2021 Paper 2

    76
    Let AA and BB be 3×33 \times 3 real matrices such that AA is symmetric matrix and BB is skew-symmetric matrix. Then the system of linear equations (A2B2−B2A2)X=O\left( A^{2}B^{2}-B^{2}A^{2} \right)X=O, where XX is a 3×13 \times 1 column matrix of unknown variables and OO is a 3×13 \times 1 null matrix, has:

    Tap an option to check your answer.

  2. Question 2

    28 Jul 2022

    153
    Let AA and BB be any two 3×33 \times 3 symmetric and skew symmetric matrices respectively. Then which of the following is NOT true?

    Tap an option to check your answer.

  3. Question 3

    25 Jan 2023

    167
    Let A, B, C be 3×33 \times 3 matrices such that AA is symmetric and BB and CC are skew-symmetric. Consider the statements (S1) A13 B26−B26 A13A^{13}{\text{ }B}^{26}-B^{26}{\text{ }A}^{13} is symmetric (S2) A26C13−C13 A26A^{26}C^{13}-C^{13}{\text{ }A}^{26} is symmetric Then,

    Tap an option to check your answer.