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# 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. m × nn × n n × mm × n

## Text 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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 Question Text 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. m × nn × n n × mm × n Topic Matrices Subject Mathematics Class Class 12 Answer Type Text solution:1 Upvotes 32
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