Question

Suppose matrix A is of order 2 x 3. which of the following orders can be matrix b have to be able to multiply AB

Answer 1

as long as the number of colums of the left side matrix = the rows of the right side matrix it is possible to do matrix multiplication

Answer 2

i e
A= M by N matrix
B= P by Q matrix
then AB iff N=P

Answer 3

that last statement is saying AB is possible if and only if |N| = |P|

Answer 4

so will it be 2 x 3 2 x 2 3 x 4 2 x 4

Answer 5

i thought the answer would be 2 x 3

Answer 6

If the "inner" dimensions are the same, then you can do the multiplication. (As a plus: the resulting matrix will have the dimensions of the "outer" dimensions).