Let a,b are square matrices of same order satisfying ab=a and ba=b then a to the power of 2010+b to - Maths - Linear Inequalities

Question

Let a,b are square matrices of same order satisfying ab=a and ba=b
then a to the power of 2010+b to the power of 2010)to the power of
2011 equals

Manish Kumar Chaudhary · Accepted Answer

Dear student,
Solution is given below:
<img alt="" src=
"https://s3mn%20mnimgs%20com/img/shared/content_ck_images/ck_5ca81af41ad8d%20jpg">

regards,

Let a,b are square matrices of same order satisfying ab=a and ba=b then a to the power of 2010+b to the power of 2010)to the power of 2011 equals