If A and B are matrices of the same order, then ABT

Engineering

Mathematics

Symmetric and Skew Symmetric Matrices

Question

If A and B are matrices of the same order, then AB^T – BA^T is a

Unit matrix

Null matrix

Symmetric matrix

Skew-symmetric matrix

College PredictorLive

Know your College Admission Chances Based on your Rank/Percentile, Category and Home State.

Get your JEE Main Personalised Report with Top Predicted Colleges in JoSA

(AB^T – BA^T)^T

= (AB^T)^T – (BA^T)^T

= BA^T – AB^T

= – (AB^T – BA^T)

A square matrix whose transpose equals its negative is called a skew-symmetric matrix.

∴ AB^T – BA^T is a skew-symmetric matrix.