cara mengkali matriks:
[tex] \binom{a\: \: b}{ c\: \: d} \binom{e\: \: f}{g\: \: h} = \binom{ae + bg\: \: af + bh}{ ce+ dg\: \: cf + dh}[/tex]
[tex] \binom{5 \: \: - 2}{9 \: \: - 4} \binom{2 \: \: - 1}{x \: \: x + y} = \binom{1 \: \: 0}{0 \: \: 1} [/tex]
[tex] \binom{5 \times 2 + (- 2 \times x)\: \: 5 \times ( - 1) + (- 2)(x + y)}{9 \times 2 + (- 4 \times x) \: \: 9 \times ( - 1) + (- 4)(x + y)} = \binom{1 \: \: 0}{0 \: \: 1} [/tex]
[tex] \binom{10 - 2x\: \: - 5 - 2x - 2y}{18 - 4 x \: \: - 9 - 4x - 4y } = \binom{1 \: \: 0}{0 \: \: 1} [/tex]
didapat,
10-2x = 1
-2x = -9
x = 9/2
-5-2x-2y = 0
-5-2•(9/2)-2y = 0
-5-9 = 2y
-14 = 2y
-7 = y
jadi,
x-y = 9/2 - (-7) = 9/2+7 = 23/2 (E)
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