Question

# If A and B are matrices of order m × n and n × m respectively, then the order of matrix B^{T} (A^{T})^{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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In this question, we have to find the statements are the correct or not and statement 2 is correct explanation or not, is same as assertion and reason