Diketahui persamaan matriks (5 -2 9 -4)(1 -1 x x+y) = (1 0 0 1).

24/07/2022 by hadi wargamasyarakat

Nilai x – y = …

Pembahasan:

⎡5 –2⎤ ⎡1 –1 ⎤ ₌ ⎡1 0⎤

⎣9 –4⎦ ⎣x x + y⎦ ⎣0 1⎦

⎡5 – 2x –5 – 2x – 2y⎤ ₌ ⎡1 0⎤

⎣9 – 4x –9 – 4x – 4y⎦ ⎣0 1⎦

Sehingga:

5 – 2x = 1

⇒ –2x = –4

⇒ x = 2

–5 – 2x – 2y = 0

⇒ –5 – 2(2) – 2y = 0

⇒ –9 – 2y = 0

⇒ –2y = 9

⇒ y = _ 9

Makara, x – y = 2 – (_ 9) = 4 ₊ 9 ₌ 13

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