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#R, 58 bytes

R, 58 bytes

l=LETTERS;for(i in 1:26){l[2:i-1]=l[i];cat(l,"\n",sep="")}

Thanks to operator precedence, 2:i-1 is equivalent to 1:(i-1). Uses the built-in constant LETTERS that contains the alphabet in upper case. Everything else is rather self-explanatory.
Usage:

> l=LETTERS;for(i in 1:26){l[2:i-1]=l[i];cat(l,"\n",sep="")}
ABCDEFGHIJKLMNOPQRSTUVWXYZ
BBCDEFGHIJKLMNOPQRSTUVWXYZ
CCCDEFGHIJKLMNOPQRSTUVWXYZ
DDDDEFGHIJKLMNOPQRSTUVWXYZ
EEEEEFGHIJKLMNOPQRSTUVWXYZ
FFFFFFGHIJKLMNOPQRSTUVWXYZ
GGGGGGGHIJKLMNOPQRSTUVWXYZ
HHHHHHHHIJKLMNOPQRSTUVWXYZ
IIIIIIIIIJKLMNOPQRSTUVWXYZ
JJJJJJJJJJKLMNOPQRSTUVWXYZ
KKKKKKKKKKKLMNOPQRSTUVWXYZ
LLLLLLLLLLLLMNOPQRSTUVWXYZ
MMMMMMMMMMMMMNOPQRSTUVWXYZ
NNNNNNNNNNNNNNOPQRSTUVWXYZ
OOOOOOOOOOOOOOOPQRSTUVWXYZ
PPPPPPPPPPPPPPPPQRSTUVWXYZ
QQQQQQQQQQQQQQQQQRSTUVWXYZ
RRRRRRRRRRRRRRRRRRSTUVWXYZ
SSSSSSSSSSSSSSSSSSSTUVWXYZ
TTTTTTTTTTTTTTTTTTTTUVWXYZ
UUUUUUUUUUUUUUUUUUUUUVWXYZ
VVVVVVVVVVVVVVVVVVVVVVWXYZ
WWWWWWWWWWWWWWWWWWWWWWWXYZ
XXXXXXXXXXXXXXXXXXXXXXXXYZ
YYYYYYYYYYYYYYYYYYYYYYYYYZ
ZZZZZZZZZZZZZZZZZZZZZZZZZZ

#R, 58 bytes

l=LETTERS;for(i in 1:26){l[2:i-1]=l[i];cat(l,"\n",sep="")}

Thanks to operator precedence, 2:i-1 is equivalent to 1:(i-1). Uses the built-in constant LETTERS that contains the alphabet in upper case. Everything else is rather self-explanatory.
Usage:

> l=LETTERS;for(i in 1:26){l[2:i-1]=l[i];cat(l,"\n",sep="")}
ABCDEFGHIJKLMNOPQRSTUVWXYZ
BBCDEFGHIJKLMNOPQRSTUVWXYZ
CCCDEFGHIJKLMNOPQRSTUVWXYZ
DDDDEFGHIJKLMNOPQRSTUVWXYZ
EEEEEFGHIJKLMNOPQRSTUVWXYZ
FFFFFFGHIJKLMNOPQRSTUVWXYZ
GGGGGGGHIJKLMNOPQRSTUVWXYZ
HHHHHHHHIJKLMNOPQRSTUVWXYZ
IIIIIIIIIJKLMNOPQRSTUVWXYZ
JJJJJJJJJJKLMNOPQRSTUVWXYZ
KKKKKKKKKKKLMNOPQRSTUVWXYZ
LLLLLLLLLLLLMNOPQRSTUVWXYZ
MMMMMMMMMMMMMNOPQRSTUVWXYZ
NNNNNNNNNNNNNNOPQRSTUVWXYZ
OOOOOOOOOOOOOOOPQRSTUVWXYZ
PPPPPPPPPPPPPPPPQRSTUVWXYZ
QQQQQQQQQQQQQQQQQRSTUVWXYZ
RRRRRRRRRRRRRRRRRRSTUVWXYZ
SSSSSSSSSSSSSSSSSSSTUVWXYZ
TTTTTTTTTTTTTTTTTTTTUVWXYZ
UUUUUUUUUUUUUUUUUUUUUVWXYZ
VVVVVVVVVVVVVVVVVVVVVVWXYZ
WWWWWWWWWWWWWWWWWWWWWWWXYZ
XXXXXXXXXXXXXXXXXXXXXXXXYZ
YYYYYYYYYYYYYYYYYYYYYYYYYZ
ZZZZZZZZZZZZZZZZZZZZZZZZZZ

R, 58 bytes

l=LETTERS;for(i in 1:26){l[2:i-1]=l[i];cat(l,"\n",sep="")}

Thanks to operator precedence, 2:i-1 is equivalent to 1:(i-1). Uses the built-in constant LETTERS that contains the alphabet in upper case. Everything else is rather self-explanatory.
Usage:

> l=LETTERS;for(i in 1:26){l[2:i-1]=l[i];cat(l,"\n",sep="")}
ABCDEFGHIJKLMNOPQRSTUVWXYZ
BBCDEFGHIJKLMNOPQRSTUVWXYZ
CCCDEFGHIJKLMNOPQRSTUVWXYZ
DDDDEFGHIJKLMNOPQRSTUVWXYZ
EEEEEFGHIJKLMNOPQRSTUVWXYZ
FFFFFFGHIJKLMNOPQRSTUVWXYZ
GGGGGGGHIJKLMNOPQRSTUVWXYZ
HHHHHHHHIJKLMNOPQRSTUVWXYZ
IIIIIIIIIJKLMNOPQRSTUVWXYZ
JJJJJJJJJJKLMNOPQRSTUVWXYZ
KKKKKKKKKKKLMNOPQRSTUVWXYZ
LLLLLLLLLLLLMNOPQRSTUVWXYZ
MMMMMMMMMMMMMNOPQRSTUVWXYZ
NNNNNNNNNNNNNNOPQRSTUVWXYZ
OOOOOOOOOOOOOOOPQRSTUVWXYZ
PPPPPPPPPPPPPPPPQRSTUVWXYZ
QQQQQQQQQQQQQQQQQRSTUVWXYZ
RRRRRRRRRRRRRRRRRRSTUVWXYZ
SSSSSSSSSSSSSSSSSSSTUVWXYZ
TTTTTTTTTTTTTTTTTTTTUVWXYZ
UUUUUUUUUUUUUUUUUUUUUVWXYZ
VVVVVVVVVVVVVVVVVVVVVVWXYZ
WWWWWWWWWWWWWWWWWWWWWWWXYZ
XXXXXXXXXXXXXXXXXXXXXXXXYZ
YYYYYYYYYYYYYYYYYYYYYYYYYZ
ZZZZZZZZZZZZZZZZZZZZZZZZZZ
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#R, 58 bytes

l=LETTERS;for(i in 1:26){l[2:i-1]=l[i];cat(l,"\n",sep="")}

Thanks to operator precedence, 2:i-1 is equivalent to 1:(i-1). Uses the built-in constant LETTERS that contains the alphabet in upper case. Everything else is rather self-explanatory.
Usage:

> l=LETTERS;for(i in 1:26){l[2:i-1]=l[i];cat(l,"\n",sep="")}
ABCDEFGHIJKLMNOPQRSTUVWXYZ
BBCDEFGHIJKLMNOPQRSTUVWXYZ
CCCDEFGHIJKLMNOPQRSTUVWXYZ
DDDDEFGHIJKLMNOPQRSTUVWXYZ
EEEEEFGHIJKLMNOPQRSTUVWXYZ
FFFFFFGHIJKLMNOPQRSTUVWXYZ
GGGGGGGHIJKLMNOPQRSTUVWXYZ
HHHHHHHHIJKLMNOPQRSTUVWXYZ
IIIIIIIIIJKLMNOPQRSTUVWXYZ
JJJJJJJJJJKLMNOPQRSTUVWXYZ
KKKKKKKKKKKLMNOPQRSTUVWXYZ
LLLLLLLLLLLLMNOPQRSTUVWXYZ
MMMMMMMMMMMMMNOPQRSTUVWXYZ
NNNNNNNNNNNNNNOPQRSTUVWXYZ
OOOOOOOOOOOOOOOPQRSTUVWXYZ
PPPPPPPPPPPPPPPPQRSTUVWXYZ
QQQQQQQQQQQQQQQQQRSTUVWXYZ
RRRRRRRRRRRRRRRRRRSTUVWXYZ
SSSSSSSSSSSSSSSSSSSTUVWXYZ
TTTTTTTTTTTTTTTTTTTTUVWXYZ
UUUUUUUUUUUUUUUUUUUUUVWXYZ
VVVVVVVVVVVVVVVVVVVVVVWXYZ
WWWWWWWWWWWWWWWWWWWWWWWXYZ
XXXXXXXXXXXXXXXXXXXXXXXXYZ
YYYYYYYYYYYYYYYYYYYYYYYYYZ
ZZZZZZZZZZZZZZZZZZZZZZZZZZ