Question

If A is a matrix of order 1-by-2 and B is a matrix of order 2-by-2 then AB is a matrix of order

Answer 1

Given that,

If A is a matrix of order 1 by 2.

If B is matrix of order 2 by 2.

We need to find the order of matrix AB

Using formula for order of matrix

$Order\ of\ matrix\ A = 1\times 2$

$Order\ of\ matrix\ B = 2\times 2$

Now, $Order\ of\ matrix\ AB = (1\times2)\times(2\times 2)$

$Order\ of\ matrix\ AB = 1\times 2$

Hence, The order of matrix AB is 1 by 2.