Question

If order of matrix ‘A’ is 2×3 and order of matrix ‘B’ is 3×4, then order of their multiplication matrix ‘AB’ is …​

Answer 1

Step-by-step explanation:

A = 2×3

B = 3×4

column of A = row of B

AB = 2×4

Matrix = Row×Column

Answer 2

The order of their multiplication matrix 'AB'= 2×4.

Option (3) is correct.

Given:

• If order of matrix ‘A’ is 2×3 and order of matrix ‘B’ is 3×4.

To find:

• Order of their multiplication matrix ‘AB’ is …

Solution:

Concept to be used:

If there are two matrix, matrix $\bf A_{m\times n}$ and matrix $\bf B_{p\times q}$.

Then, matrix multiplication is possible only if n=p, the resultant matrix is C, and order of resultant matrix is $\bf C_{n\times q}$.

Here,

Order of matrix 'A' is 2×3.

Order of matrix 'B' is 3×4.

It is clear that number of columns of first matrix are equal to number of rows of second matrix.

Then,

Given matrices can be multiply in order 'AB' and its order is 2×4.

Thus,

The order of their multiplication matrix 'AB'= 2×4.

Option (3) is correct.

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