Question
If A and B are matrices of order m × n and n × m respectively, then the order of matrix BT (AT)T is -
- m × n
- m × m
- n × n
- Not defined
The correct answer is: Not defined
To find the order of 
.
Given, A and B are matrices of order m × n and n × m respectively.
therefore, order of 
=n x m
order of 
= m x n.
Order of 
= m x n.
By the rule of matrix multiplication, number of columns in first matrix must be equal to number of rows in second matrix but in the above case, n is not equal to m.
Therefore, matrix multiplication can not be happened. So order is not defined.
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or 
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Statement - II 
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, then A
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j, then A is-
is
