CUET · MATHS · PYQ PAPER 2023
Which of the following matrices is symmetric as well as skew-symmetric?
- A Identity matrix of order m × m
- B Row matrix
- C Column matrix
- D Null matrix of order m × m
Answer & Solution
Correct Answer
(D) Null matrix of order m × m
Step-by-step Solution
Detailed explanation
If a matrix A is symmetric, then \( A = A^T \). If a matrix A is skew-symmetric, then \( A = -A^T \). For a matrix to be both: \( A = -A \). \( 2A = 0 \). \( A = 0 \). The matrix must be a Null matrix.
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