Question

if matrix A is of order 3X2 and matrix B is of order 2X2 then what is the order of matrix AB​

Answer 1

Answer:

3x2

Step-by-step explanation:

As No. of columns in A is 2

No. of rows in B is 2

∴AB exists

Order of AB is ( number of rows of A x number of columns of B)

=3X2

so order of AB is 3X2.

Answer 2

Given :

Order of matrix A : 3*2

Order of matrix B : 2*2

We know

Multiplication of matrices is possible if and only if the number of columns of first matrix is equal to the number of rows of second matrix

So for AB

No. of columns in A is 2

No. of rows in B is 2

So AB exists

Order of AB is ( number of rows of A x number of columns of B)

Order of AB is (3*2)