Question

4x-y-5Z=1
x+y-2Z=6
3x-2y-6Z=2

Решить методом Крамера

Answer 1

4-1-5=1
1+1-2=6
3-2-6=2
▲ =  $left[begin{array}{ccc}4&1&5\1&1&2\3&2&6end{array}right]$ = 24+10 - 6 - 15 - 16 - 6= 3

▲1 = $left[begin{array}{ccc}1&1&5\6&1&2\2&2&6end{array}right]$ = 6 + 60 + 4 -10 - 4 - 36 = 20

▲2 = $left[begin{array}{ccc}4&1&5\1&6&2\3&2&6end{array}right]$ = 144 + 10 + 6 - 90 - 16 - 6 = 48

▲3 = $left[begin{array}{ccc}4&1&1\1&1&6\3&2&2end{array}right]$ = 8 + 2 + 18 - 3 - 48 - 2 = -25

x1=$frac{▲1}{▲}$ = $frac{20}{3}$ = 6.6

x2=$frac{▲2}{▲}$ = $frac{48}{3}$ = 16

x3=$frac{▲3}{▲}$ = $frac{-25}{3}$ = 8.3

 Ответ:(6.6;16;8.3).