bantu dong please :( nomor 3 4 dan 5 tolong yah :(
Matematika
bimanovrizal1
Pertanyaan
bantu dong please :( nomor 3 4 dan 5 tolong yah :(
2 Jawaban
-
1. Jawaban veradaa
no.3
jawab: a = 2
b = 2a ⇔2.2 = 4
c = ab ⇔ 2.4 = 8
jadi a+b+c = 2+4+8 =14
no.4
jawab = [tex] \left[\begin{array}{ccc}3&1\\2&-2\end{array}\right] + 2 \left[\begin{array}{ccc}1&5\\-1&2\end{array}\right] [/tex]
= [tex] \left[\begin{array}{ccc}3&1\\2&-2\end{array}\right] + \left[\begin{array}{ccc}2&10\\-2&4\end{array}\right] [/tex]
= [tex] \left[\begin{array}{ccc}6-2&30+4\\4+4&20-8\end{array}\right] [/tex]
= [tex] \left[\begin{array}{ccc}4&34\\8&16\end{array}\right] [/tex]
det [tex] \left[\begin{array}{ccc}4&34\\8&16\end{array}\right] [/tex] = 64-272 = -208
adjoint = [tex] \left[\begin{array}{ccc}4&34\\8&16\end{array}\right] [/tex]
= [tex] \left[\begin{array}{ccc}16&-34\\-8&4\end{array}\right] [/tex]
[tex](A+2B) ^{-1} [/tex] = [tex] \left[\begin{array}{ccc}-1/13&17/104\\1/26&-1/52\end{array}\right] [/tex]
maaf kalo salah ya.. -
2. Jawaban zikriPuja
No 3.
[tex] \left[\begin{array}{ccc}5&a&3\\b&2&c\end{array}\right] = \left[\begin{array}{ccc}5&2&3\\2a&2&ab\end{array}\right][/tex]
cari yg seletak, maka:
*a = 2
*b=2a
b=2x2=4
*c=a.b
c=2x4=8
jadi a+b+c=2+4+8=14
4.
[tex] \left[\begin{array}{ccc}3&1\\2&-2\end{array}\right] + \left[\begin{array}{ccc}2&10\\-2&4\end{array}\right] = \left[\begin{array}{ccc}5&1\\0&2\end{array}\right] [/tex]
(A+2B)⁻¹ = 5x2 - 11x0
= 10
5.
[tex] \left[\begin{array}{ccc}1&2\\4&3\end{array}\right] X \left[\begin{array}{ccc}3&1\\-2&-3\end{array}\right] = \left[\begin{array}{ccc}-1&-5\\-6&-5\\\end{array}\right] [/tex]
koreksi lagi ya :3
yg bonus
5x+y=-5 x2 10x+2y=-10
2x+2y=14 x5 10x+10y=70
------------------ -
-8y=-80
y=10
subsitusikan ke salah satu nya :
5x+y=-5
5x+10=-5
5x=-5-10
5x=-15
x=-3