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Mathematics

If a matrix A is of order 5 × 3 and matrix B is of order 2 × 5; then order of matrix BA is :

  1. 5 × 2

  2. 2 × 3

  3. 5 × 5

  4. 5 × 3

Matrices

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Answer

Let resultant matrix be C.

We know that,

In the multiplication of two matrices, the resultant matrix has same number of rows as the first matrix, and the same number of columns as the second matrix.

B2×5×A5×3=C2×3B{2 \times 5} \times A{5 \times 3} = C_{2 \times 3}

Hence, Option 2 is the correct option.

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