Question

How can you determine whether a matrix product AB is defined?

Answer 1

@Mertsj explain him, please.

Answer 2

You're doing fine. Give an example. That will help.

Answer 3

its HER and like this A is 2×3 and B is 3×2, so AB is (2×3)(3×2).

Answer 4

\[A_{m\times n}B_{n\times p}\]?
The number of columns of A = number of rows of B

Answer 5

Dimension of AB would be m×p

Answer 6

Thanks

Answer 7

It depends on the dimensions:

Answer 8

The example that Desalexus presents is illustrative: A is 2×3 and B is 3×2, so AB is (2×3)(3×2). Note how Matrix A has 2 rows and 3 columns, and B 3 rows and 2 columns. We can indeed multiply matrices A and B (in that order).