winner 1 @Ilhamxanddd
winner 2 @Chaerul26
winner 3 @Apanii10
winner 4 @nerth_busuk
winner 5 @gloomyamore
lanjut
winner 2 @Chaerul26
winner 3 @Apanii10
winner 4 @nerth_busuk
winner 5 @gloomyamore
lanjut
π1
jadiin codingan ini dalam bentuk matematika
Nomor~10.~~jika\begin{bmatrix}
1 &cos~0^{o} &0 \\
sin~0^{o}&cos~30^{o} &1 \\
1 &tg~30^{o} &a-b
\end{bmatrix}=\begin{bmatrix}
a+b &1 &0 \\
0 &2c &1 \\
1 &\frac{1}{3}\sqrt{3} &0
\end{bmatrix}carilah~nilai~a,b~dan~c~!
\\\\
penyelesaian~:~mencari~nilai~a\to a+b=1\\
~~~~~~~~~~~~~~~~~~~~~~a-b=0\\
eliminasi~\to a+a=1\\
2a=1\to a=\frac{1}{2}\\\\
mencari~nilai~b\to a+b=1\\\frac{1}{2}+b=1\\
b=\frac{2}{2}-\frac{1}{2}=\frac{1}{2}\\\\
mencari~nilai~c\to cos~30^{o}=2c\\
\frac{\sqrt{3}}{2}=2c\\c=\frac{\sqrt{3}}{4}\\\\
Hasil~a=\frac{1}{2},b=\frac{1}{2},c=\frac{\sqrt{3}}{4}
π1