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Multiplication of Matrices

Determine whe...

Question

Determine whether for given matrices matrix product is defined or not. If the product is defined, state the dimension of the product matrix.
$A_{1 \times 3}$ and $B_{4 \times 3}$

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Solution

Given that A is of order $1 \times 3$ B is of order $4 \times 3$ .
Now, the number of columns in A and the number of rows in B are not equal.
So, the matrix product AB is not defined.

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