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Question

Order of matrix A is 3 × 5 and that of B is 2 × 3. Then then order of the matrix BA is


  1. 3 × 2

  2. 2 × 3

  3. 2 × 5

  4. 5 × 2


Solution

The correct option is C

2 × 5


Two matrices are said to be conformable for multiplication, if the number of columns of the first matrix is equal to the number of rows of the second matrix. 

Order of matrix B is 2 × 3

Order of matrix A is 3 × 5

The number of columns of B is equal to the number of rows of A

If P is a matrix of order m × n, Q is a matrix of order n × p, then product PQ has order m × p.

Therefore the order of the matrix BA is 2 × 5

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