Jawab:
X = [tex]\left[\begin{array}{ccc}-1&-2\\2&3\end{array}\right][/tex]
Penjelasan dengan langkah-langkah:
Misalkan X = [tex]\left[\begin{array}{ccc}a&b\\c&d\end{array}\right][/tex]
[tex]\left[\begin{array}{ccc}1&2\\4&3\end{array}\right][/tex] [tex]\left[\begin{array}{ccc}a&b\\c&d\end{array}\right][/tex] = [tex]\left[\begin{array}{ccc}3&4\\2&1\end{array}\right][/tex]
a + 2c = 3, b+2d = 4, 4a + 3c = 2, 4b + 3d = 1
gunakan metode eliminasi
kalikan a + 2c = 4 dengan 4
4a + 8c = 12 dikurangi dengan 4a + 3c = 2
5c = 10 dan c=2
4a + 8(2) = 12
4a = 12-16
4a = -4
a = -1
kalikan b + 2d = 4 dengan 4
4b + 8d = 16 dikurangi dengan 4b + 3d = 1
5d = 15
d = 3
4b + 3(3) = 1
4b = 1 - 9
4b = -8
b = -2
maka
X = [tex]\left[\begin{array}{ccc}-1&-2\\2&3\end{array}\right][/tex]
[answer.2.content]