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Matrix Definition and Representation

Determine whe...

Question

Determine whether given matrices product is defined or not. If the product is defined, state the dimension of the product matrix.
$A_{2 \times 5}$ and $B_{5 \times 4}$

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Solution

Now, the number of columns in A and the number of rows in B are equal.
So, the product AB is defined.
Also, the product matrix AB is of order $2 \times 4$ .

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