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If A is a matrix of order 3 5 and B is a matrix of order 5 3 , then the order of A B and B A will respectively be

Options

  1. A3 3 and 3 3
  2. B3 5 and 5 3
  3. C3 3 and 5 5
  4. D5 3 and 3 5

Correct answer

C. 3 3 and 5 5

Step-by-step solution

A=[i j]_ 3 5 , B=[i j]_ 5 3 Now, A B=[i j]_ 3 3 and B A=[j i]_ 5 5

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