Question

(A B) = when A and B are
conformal for the product AB :
(A)
A'B'
(B) B'A'
(C) (BA)
(D) (A B')​

Answer 1

Answer:

Your answer is (c) (BA)

Ok dear

Answer 2

Answer:

Option (c) (BA ) is the correct answer .

Step-by-step explanation:

Explanation :

Two matrices A and B are said to be conformable for the product AB if the number of columns of A be equal to the number of rows of B.

Let , A and B be two matrix in which columns of A and rows of B are equal .

$A = [{a{\rm ij}]_{m\times n}}$  and    $B = [{b{\rm jk}]_{n\times p}}$

Step1:

Then product of AB is

AB = $[{a{\rm ij}]_{m\times n}} \times [{b{\rm jk}]_{n\times p}}$

AB = $\sum{a_{ij} .b_{jk} }$

Similarly , product of BA

BA = $[{b{\rm jk}]_{n\times p}} \times [{a{\rm ij}]_{m\times n}}$

BA = $\sum b_{jk} }.{a_{ij}$

Therefore , here we can see that AB = BA

Final answer :

Hence , AB = BA when A and B are conformal for the product AB .

#SPJ3