Matrix Products Consider the matrices A 9 6 1 9 4 5 B 7 8

Matrix Products: Consider the matrices A = (9 6 1 9 4 5), B = (7 8 8 10 4 10 7 8 10 4 5 5), and C = (2 3 4 8 1 7 10 6) Of the possible matrix products ABC, ACB, BAC, BCA, CAB, CBA. which make sense? A. (ACB, BAC, CBA) only B. (ACB, BAC, CAB) only C. (ABC, BCA, CAB) only D. all of them E. none of them

Solution

a matrix product is defined only for matrices of order mxn and nxp

ie the number of columns of the first matrix and the number of rows of the second must be same

Considering this fact the matrix products ABC , BCA and CAB are the only well defined ones

So option C is correct