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Published by LOO SUAN FUN Moe, 2023-09-04 08:49:02

Kaedah Matriks

MM 5V Omega_Matriks P2

Selesai persamaan linear serentak dengan menggunakan Kaedah Matriks: 6 5 9 1. 3 2 3 + = + = x y x y = 9 3 6 5 3 2 y x − − = 9 3 6 3 5 2 3 1 y x − = 9 3 3 1 − = 3 1 x = −1, y = 3 a b c d Langkah: 1. 写成 bentuk matriks 2. 确定 a, b, c, d 3. 用计算机算出 ad – bc 4. a 和 d 交换位子, b 和 c 乘 negatif ad − bc = 3(5) − (2)(6) = 3 Matriks songsang − − = 6 3 5 2 3 1 − − 9 3 6 3 5 2 5(3) = 15 -6(3)= -18 -2(9)= -18 3(9)= 27 - 3 9 加 加 − 9 3 3 1 ( 3) 1 3 1 − = − (9) 3 3 1 = 一定要写最后答案


2 2 2. 3 4 5 − + = − = − u v u v − = − − 2 5 1 2 3 4 v u − = 2 5 1 3 2 4 2 1 v u − = 1 2 2 1 − = 2 1 1 2 1 u = −1, v = a b c d − 2 5 1 3 2 4 2(-5) =-10 1(-5)= -5 4(2) = 8 3(2)= 6 - 2 1 加 加 − 1 2 2 1 ( 2) 1 2 1 − = − ( ) 2 1 1 2 1 = ad − bc = 3(2) − (−4)(−1) = 2 Matriks songsang = 1 3 2 4 2 1


4 7 5 3. 2 3 1 + = + = − x y x y − = 5 1 4 7 2 3 y x − − − = 5 1 4 2 7 3 2 1 y x − = 14 22 2 1 − = 7 11 x = −11, y = 7


2 5 2 1. 4 7 + = − − = x y x y 4 5 13 2. 2 3 7 − = − = x y x y 9 1 3. 3 2 5 + = − = x y x y 3 8 11 4. 2 4 − = − = x y x y 3 27 5. 2 5 31 + = + = x y x y , 1 2 3 x = y = − x = 2, y = −1 , 2 3 1 x = y = − 2 1 x = 5, y = x = 8, y = 3


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