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Question
If A is a matrix of order m × n and B is a matrix such that ABT and BTA are both defined, then the order of matrix B is
Disclaimer: option (a) and (d) both are the same.
Options
m × n
n × n
n × m
m × n
Solution
Since, ABT and BTA are both defined.
And, order of A is m × n. So, Order of BT must be n × m.
Thus, order of matrix B is m × n.
Hence, the correct option is (d).
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