diketahui Matriks A = (2 1)dibawahnya(1 1), B= (1 1)dibawah nya (2 5), dan.C = AB.invers matriks C adalah C-1.Matriks C-1=

Matematika Kelas 12
Matriks

Pembahasan :
Dik : Matriks

A = (2 1)
(1 1)

B = (1 1)
(2 5)

AB = C

Jadi, matriks :

AB =
(2 1) (1 1)
(1 1) (2 5)

AB =
(2+2 2+5)
(1+2 1+5)

C = AB =
(4 7)
(3 6)

Invers matriks C :


C-¹ =
1/(24-21) (4 3)
(7 6)

4 3
C-¹ = 1/3 (7 6)

(4/3) 1
C-¹ = {(7/3) 2}

Semoga membantu.