Business MathematicsNEB 2081

Two matrices A and B can be multiplied to get AB if a) Both matrices are square of different order. b) Both matrices are rectangular of same order. c) No.of rows of A = no.of columns of B. d) No.of…

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Two matrices A and B can be multiplied to get AB if a) Both matrices are square of different order. b) Both matrices are rectangular of same order. c) No.of rows of A = no.of columns of B. d) No.of columns of A = no.of rows of B.

Answer

For two matrices and to be multiplied to obtain the product , the number of columns in matrix must be equal to the number of rows in matrix .

This is because matrix multiplication is defined as follows:

  • If is an matrix and is an matrix, then is an matrix.
  • The element in the -th row and -th column of is computed as the dot product of the -th row of and the -th column of .

Thus, the correct condition is: d) No. of columns of = No. of rows of .

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