Tolong bantu dengan cara kerjanya

Cari dulu invers matriks B

Misal penulisan matriks ordo 2 x 2 = [a,b,c,d]

B^-1 = 1/(2.2-3.1) [2,-3,-1,2]

B^-1 = 1/1 [2,-3,-1,2]

B^-1 = [2,-3,-1,2]

Anggap matriks A = [a,b,c,d]

[a,b,c,d] .[2,-3,-1,2] = [2,-1,-3,2]

[2a-b, -3a+2b, 2c-d, -3c+2d] = [2,-1,-3,2]

2a – b = 2 –> 4a -2b = 4

-3a + 2b = -1-> -3a +2b = -1

————————————– +

a = 3

2(3)-b = 2

6-b = 2

b = 4

2c-d = -3 —> 4c -2d = -6

-3c+2d = 2–> -3c+2d = 2

——————————— +

c = -4

2(-4)-d = -3

-8-d = -3

d = -5

Jadi matriks A =

[a,b,c,d] = [3,4,-4,-5]