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Types of Unit Cell

Determine whe...

Question

Determine whether the product of the matrices is defined in each case. If so, state the order of the product. MN, where $M = [m_{i j}]_{3 \times 1}, N = [n_{i j}]_{1 \times 5}$

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Solution

$M = {[m_{i j}]}_{3 \times 1}, N = {[n_{i j}]}_{1 \times 5}$
Number of column of $M =$ Number of rows of $N$
$∴ M N$ is defined and the order of $M N$ is $3 \times 5.$
Hence, the answer is $3 \times 5.$

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