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TS EAMCET · Maths · Matrices

Suppose \(A\) and \(B\) are two square matrices of same order. If \(A\) and \(B\) are symmetric matrix, then \(A B-B A\) is

  1. A a symmetric matrix
  2. B a skew-symmetric
  3. C a scalar matrix
  4. D a triangular matrix
Verified Solution

Answer & Solution

Correct Answer

(B) a skew-symmetric

Step-by-step Solution

Detailed explanation

Since, \(A\) and \(B\) are symmetric matrix, then \[ A^{\prime}=A \text { and } B^{\prime}=B \text {. } \] Now, let \(P=A B-B A\)…