tolong ya kakak,mas,bapak atau ibu guru....
Matematika
YusufGeovaniBastian
Pertanyaan
tolong ya kakak,mas,bapak atau ibu guru....
2 Jawaban
-
1. Jawaban yoesamudra
3)
a) 2A + 3B = [tex] \left[\begin{array}{c}6\\14\\\end{array}\right] + \left[\begin{array}{ccc}24\\-6\end{array}\right] [/tex]
= [tex] \left[\begin{array}{c}30\\8\end{array}\right] [/tex]
b) 5A - 2B = [tex] \left[\begin{array}{c}15\\35\end{array}\right] - \left[\begin{array}{ccc}16\\-4\end{array}\right] [/tex]
= [tex] \left[\begin{array}{ccc}-1\\39\end{array}\right] [/tex]
c) 4B - 3A - 2B =
2B - 3A =[tex] \left[\begin{array}{ccc}16\\-4\end{array}\right] - \left[\begin{array}{ccc}9\\21\end{array}\right] [/tex]
=[tex] \left[\begin{array}{c}7\\3\end{array}\right] [/tex]
d) 5A + 2B + A =
6A + 2B =[tex] \left[\begin{array}{c}18\\42\end{array}\right] + \left[\begin{array}{ccc}16\\-4\end{array}\right] [/tex]
= [tex] \left[\begin{array}{c}34\\38\end{array}\right] [/tex]
4)
A) (P + Q)(P - Q) = [tex] \left[\begin{array}{cc}5&-3\\8&5\end{array}\right] \left[\begin{array}{cc}7&1\\2&1\end{array}\right] [/tex]
= [tex] \left[\begin{array}{cc}29&2\\66&13\end{array}\right] [/tex]
B) P² - Q² = [tex] \left[\begin{array}{cc}36&1\\25&9\end{array}\right] - \left[\begin{array}{cc}1&4\\9&4\end{array}\right] [/tex]
= [tex] \left[\begin{array}{cc}35&-3\\16&5\end{array}\right] [/tex]
C)(P + Q)(P - Q) tidak sama dengan P² - Q²
5)
A)[tex] \left[\begin{array}{cc}3y&-x\\2&4\end{array}\right] [/tex] - [tex] \left[\begin{array}{cc}2x&-10\\8&8\end{array}\right] [/tex] = [tex] \left[\begin{array}{cc}14&-4\\-6&-4\end{array}\right] [/tex]
diperoleh persamaan:
-x + 10 = -4
x=14
3y - 2x = 14
3y - 2(14) = 14
3y - 28 = 14
3y = 42
y = 14
moga membantu ^_^ -
2. Jawaban whyandi
1) A = 3/7 B = 8/-2
maka, a. 2A + 3B
= 2(3/7) + 3(8/-2)
= 6 + 24
7 -6
= -36 + 168
-42
= 132
-42
= -3 6/42 => -3 1/7
b. 5A - 2B = 5(3/7) - 2(8/-2)
= 15/7 - 16/-2
= -30 - 112
-14
= -142
-14
= 10 2/14 => 10 1/7
c. 4B - 3A - 2B = 4(8/-2) - 3(3/7) - 2(8/-2)
= 32/-2 - 9/7 - 16/-2
= 32/-2 - 142
14
= -224 - 142
14
= -336
14
= 26 1/7