0 votes 0 votes If AB=BA then which of following are true? 1)(A+B)(A-B)=A^2-B^2 2)(AB)^n=A^n B^n 3)AB^n=B^n A 4)A=I or B=I Pooja Palod asked Aug 9, 2015 Pooja Palod 961 views answer comment Share Follow See all 0 reply Please log in or register to add a comment.
2 votes 2 votes AB = BA AB^n = ABBBBBBBBBB........ //n times B = (AB)BBBBBBBB........ = BABBBBBBBBBB....... // replace AB by BA = B(AB)BBBBBBBB....... repeat untill A reaches Rightmost possition.. AB^n = B^nA Digvijay Pandey answered Aug 9, 2015 Digvijay Pandey comment Share Follow See all 0 reply Please log in or register to add a comment.
0 votes 0 votes 1 2 3 are true . 4 is also true but it`s not necessary that A=1 and B=1 . Pranay Datta 1 answered Aug 9, 2015 Pranay Datta 1 comment Share Follow See all 2 Comments See all 2 2 Comments reply Pooja Palod commented Aug 9, 2015 reply Follow Share Can u prove Second one?/ 0 votes 0 votes Pranay Datta 1 commented Aug 9, 2015 reply Follow Share My handwriting , its not bad , i choose this front :D 0 votes 0 votes Please log in or register to add a comment.