Question

The multiplication AB of two matrices is well defined it a is a order of m*n0 then b must be of order___​

Answer 1

SOLUTION

TO FILL IN THE BLANK

The multiplication AB of two matrices is well defined it A is order of m × n then B must be of order___

EVALUATION

We know that for two two matrices A and B their multiplication AB exists if

Number of column in A = Number of rows in B

Now it is given that A is order of m × n

Thus Number of column in A = n

Now AB exists

Then

Number of rows in B = Number of column in A

⇒ Number of rows in B = n

So B is matrix of order n × p

Where p is a natural number

FINAL ANSWER

The multiplication AB of two matrices is well defined it A is order of m × n then B must be of order n × p

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