tolong dibantu pakai cara ya terima kasih
Jawab:
E. [tex]\left[\begin{array}{ccc}3&4\\-2&1\\\end{array}\right][/tex]
Penjelasan dengan langkah-langkah:
Misalkan M = [tex]\left[\begin{array}{ccc}a&b\\c&d\\\end{array}\right][/tex], maka
[tex]\left[\begin{array}{ccc}2&-1\\3&4\\\end{array}\right][/tex] [tex]\left[\begin{array}{ccc}a&b\\c&d\\\end{array}\right][/tex] = [tex]\left[\begin{array}{ccc}8&7\\1&16\\\end{array}\right][/tex]
[tex]\left[\begin{array}{ccc}2a-c&2b-d\\3a+4c&3b+4d\\\end{array}\right][/tex] = [tex]\left[\begin{array}{ccc}8&7\\1&16\\\end{array}\right][/tex]
maka tersusunlah 4 persamaan:
2a - c = 8
3a + 4c = 1
2b - d = 7
3b + 4d = 16
yang akan ditemukan a = 3, b = 4, c = -2, dan d = 1 (cara terlampir)
sehingga M = [tex]\left[\begin{array}{ccc}3&4\\-2&1\\\end{array}\right][/tex] ( E )
Semoga membantu! Apresiasi kalian sangat berharga untuk saya :)
Feel free to ask if there's something you don't understand from my explanation :)
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