Question

if Am*n and Bn*j are matrices then
a) AB=BA
b) AB(NOTEQUAL)BA
c) A=B
d) AB=1 ?? also give full explaination

Answer 1

B is the correct answer

Answer 2

how can explain in detail please ??

Answer 3

@Haseeb96

Answer 4

\(A_{m, n} *B_{n,j} = C_{m,j}\) we can take product of them since the number of column of matrix A = number of row of matrix B to get a matrix C whose dimension is m x j
Otherwise, \(B_{n,j}*A_{m,n}\) is undefined because of the number of column of first matrix (B) is not = number of row of second matrix (A),
therefore, A*B \(\neq\) B*A