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Mathematics

If A = [36]\begin{bmatrix} 3 & -6 \end{bmatrix} and B = [3143]\begin{bmatrix} 3 & -1 \ 4 & 3 \end{bmatrix}, then the order of matrix AB is:

  1. 1 × 2

  2. 2 × 1

  3. 2 × 2

  4. 1 × 3

Matrices

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Answer

A = [36]\begin{bmatrix} 3 & -6 \end{bmatrix}

Order of matrix A = 1 × 2

B = [3143]\begin{bmatrix} 3 & -1 \ 4 & 3 \end{bmatrix}

Order of matrix B = 2 × 2

The resulting matrix AB will have the number of rows from the first matrix A and the number of columns from the second matrix B.

Order of matrix AB = 1 × 2

Hence, option 1 is the correct option.

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