Ask Questions, Get Answers

Want to ask us a question? Click here
Browse Questions
Home  >>  CBSE XII  >>  Math  >>  Matrices
0 votes

Matrices $A$ and $B$ will be inverse of each other only if

$ \begin{array}{l l} (A) \; AB = BA & (B) \; AB = BA = 0 \\ (C) \; AB = 0, BA = I & (D) \; AB = BA = I \end{array} $

Can you answer this question?

1 Answer

0 votes
  • If we multiply a matrix with its inverse, the resulting matrix will be an identity matrix.
Step 1: Matrices A & B will be inverse of each other only if \[AB=BA=I\]
Hence (D) is the right option.


answered Feb 18, 2013 by sreemathi.v
edited Mar 19, 2013 by balaji.thirumalai

Related questions

Ask Question
student study plans
JEE MAIN, CBSE, AIPMT Mobile and Tablet App
The ultimate mobile app to help you crack your examinations
Get the Android App