logo

Ask Questions, Get Answers

 
X
 Search
Want to ask us a question? Click here
Browse Questions
Ad
Home  >>  JEEMAIN and AIPMT  >>  Mathematics  >>  Class12  >>  Matrices
0 votes

If $A$ and $B$ are two matrices such that $AB=B$ and $BA=A$ then $A^2+B^2=$

$\begin{array}{1 1}(A)\;2AB&(B)\;2BA\\(C)\;A+B&(D)\;AB\end{array}$

Can you answer this question?
 
 

1 Answer

0 votes
Given :
$AB=B$
$BA=A$
$A^2+B^2=AA+BB$
$\Rightarrow A(BA)+B(AB)$
$\Rightarrow (AB)A+(BA)B$
$\Rightarrow BA+AB$
$\Rightarrow A+B$
Hence (C) is the correct answer.
answered Apr 23, 2014 by sreemathi.v
 

Related questions

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