Let A , B , and C be real 2 × 2 matrices and denote A ⋅ B − B ⋅ A by [ A , B ] . Prove that: [ A , A ] = 0

Let A , B , and C be real 2 × 2 matrices and denote A ⋅ B − B ⋅ A by [ A , B ] . Prove that: [ [ A , B ] , C ] + [ [ B , C ] , A ] + [ [ C , A ] , B ] = 0

Diketahui A = ( 2 5 ​ 1 3 ​ ) dan B = ( 3 − 2 ​ 4 1 ​ ) . Tentukan matriks M dan N yang memenuhi persamaan matriks berikut. M ⋅ A = 3 B + 2 A

Diketahui A = ( 2 5 ​ 1 3 ​ ) dan B = ( 3 − 2 ​ 4 1 ​ ) . Tentukan matriks M dan N yang memenuhi persamaan matriks berikut. A ⋅ N = B − A

Diketahui matriks dan matriks .Jika 2 A B − I = C ,matriks B adalah ...

Diketahui matriks-matriks: A = ( 2 1 ​ 1 2 ​ ) ; B = ( 1 1 ​ 1 0 ​ ) ; C = ( 1 1 ​ − 1 1 ​ ) . Tentukan invers matriks ( A + 2 B − 3 C ) .