可以将行列式展开为:
| 0 0 1 | |1/a 0 1| | 1/a 0 1 | |1/a 0 0 |
x|1/b 0 1|-y| 0 0 1|+z | 0 1/b 1|+ |0 1/b 0|=0
|0 1/c 1 | | 0 1/c 1| | 0 0 1 | | 0 0 1/c|
即:
x/(bc)+y/(ac)+z/(ab)+1/(abc)=0
可以将行列式展开为:
| 0 0 1 | |1/a 0 1| | 1/a 0 1 | |1/a 0 0 |
x|1/b 0 1|-y| 0 0 1|+z | 0 1/b 1|+ |0 1/b 0|=0
|0 1/c 1 | | 0 1/c 1| | 0 0 1 | | 0 0 1/c|
即:
x/(bc)+y/(ac)+z/(ab)+1/(abc)=0