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If P is a matrix of order a × b and Q is a matrix such that PQ' and Q'P are both defined, then order of matrix Q is

If P is a matrix of order a × b and Q is a matrix such that PQ' and Q'P are both defined, then order of matrix Q is Correct Answer a × b

Concept:

Order of matrix - A matrix having m rows and n column is called a matrix of order m × n.

Calculation:

Let matrix Q is of order m × n

Matrix Q' is of order n × m

Matrix P is of order a × b

Since PQ' is defined

number of column of P = number of rows of Q'

b = n

Also, Q'P is defined

number of column of Q' = number of rows of P

m = a

Hence, Q is of order m × n i.e a × b

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