Линейная алгебра Примеры

Найти определитель [[0,cos(x),sin(x)],[0,-2cos(x)-sin(x),cos(x)-2sin(x)],[0,3cos(x)+4sin(x),-4cos(x)+3sin(x)]]
[0cos(x)sin(x)0-2cos(x)-sin(x)cos(x)-2sin(x)03cos(x)+4sin(x)-4cos(x)+3sin(x)]0cos(x)sin(x)02cos(x)sin(x)cos(x)2sin(x)03cos(x)+4sin(x)4cos(x)+3sin(x)
Step 1
Multiply every element in the 1st1st column by its cofactor and add.
0|-2cos(x)-sin(x)cos(x)-2sin(x)3cos(x)+4sin(x)-4cos(x)+3sin(x)|+0|cos(x)sin(x)3cos(x)+4sin(x)-4cos(x)+3sin(x)|+0|cos(x)sin(x)-2cos(x)-sin(x)cos(x)-2sin(x)|02cos(x)sin(x)cos(x)2sin(x)3cos(x)+4sin(x)4cos(x)+3sin(x)+0cos(x)sin(x)3cos(x)+4sin(x)4cos(x)+3sin(x)+0cos(x)sin(x)2cos(x)sin(x)cos(x)2sin(x)
Step 2
Умножим 00 на |-2cos(x)-sin(x)cos(x)-2sin(x)3cos(x)+4sin(x)-4cos(x)+3sin(x)|2cos(x)sin(x)cos(x)2sin(x)3cos(x)+4sin(x)4cos(x)+3sin(x).
0+0|cos(x)sin(x)3cos(x)+4sin(x)-4cos(x)+3sin(x)|+0|cos(x)sin(x)-2cos(x)-sin(x)cos(x)-2sin(x)|0+0cos(x)sin(x)3cos(x)+4sin(x)4cos(x)+3sin(x)+0cos(x)sin(x)2cos(x)sin(x)cos(x)2sin(x)
Step 3
Умножим 00 на |cos(x)sin(x)3cos(x)+4sin(x)-4cos(x)+3sin(x)|cos(x)sin(x)3cos(x)+4sin(x)4cos(x)+3sin(x).
0+0+0|cos(x)sin(x)-2cos(x)-sin(x)cos(x)-2sin(x)|0+0+0cos(x)sin(x)2cos(x)sin(x)cos(x)2sin(x)
Step 4
Умножим 00 на |cos(x)sin(x)-2cos(x)-sin(x)cos(x)-2sin(x)|cos(x)sin(x)2cos(x)sin(x)cos(x)2sin(x).
0+0+00+0+0
Step 5
Упростим определитель.
Нажмите для увеличения количества этапов...
Добавим 00 и 00.
0+00+0
Добавим 00 и 00.
00
00
 [x2  12  π  xdx ]  x2  12  π  xdx